That question reminded me of the Perry Rhodan stuff I liked when I was younger.
The guys there developed from Jumping to FTL-Speeds, because the first one did have the drawback to render any biological being at the jumping ship dizzy for a couple of moments after performing the jump. Further they created some kind of recognizable shock-wave that was utilized by enemies to detect where a ship emerged from such a jump. That shock-wave could go up to Eleven, so when a compound of ships used this, the devices to detect this did go boom.
But... jumps done in that way where pretty fast if I recall correctly - like a stargate "just some split seconds and you emerge lightyears away"
The FTL variant was way slower, adjustable in speed and kept the crew awake while they did the travel. Further, this enabled them to play around with their hyperdrive. Nope, wasn't the Star-Trek way of traveling, they bypassed the real continuum by tunneling through some kind of hyperspace. But at least, their reentries where way more stealthy.
So when you ask for either one or another, why not clash two civilizations that utilize one of them, so you may approach this the author-way.
But if you need a decision you may need to determine how both of them may work. While at the moment they are sci-fi, in your universe they are proven techniques. Well, one of them.
Both decisions would be qual, but will have a big impact at warfare, trade and a smaller one at society. If your ftl-travel causes head-ache, there will be less civil travel I think; or all have to jump into hibernate-boxes before doing so. If it causes a shock upon reaching your destination, you will see restrictions enforced by local authorities to prevent damage of any form. If your travel is stealthy at the other hand you will encounter a flourishing piracy and a more civilian space travel, because it may become as easy as driving.
So... the type of travel would have a lesser impact than the effects of that travel. When its uncomfortable, logistic tasks would be performed by drones and things that don't suffer from ftl-travel, but when its as smooth as visible in much movies, you will see a lively civilian space-economy driven by human pilots. And freelancers. Imagine you could go everywhere with your spaceship. Do whatever you like to. Settle down at a empty moon and creating a new nation of one? No problem.
Anyway, this form of society would be prone to Darwinian selection, so you will end up with a civilization of great space-truckers.
More Output requested.
Lets make differences between two and two options for simplicity:
Jump-Drive Will pass over long distances instantly, but need time to charge. You can appear where you aim at, and it would be hard to to refuse you this ability in a military way. But maybe the reappearance is a very... vivid action in terms of signal-emitting, that scale with the size of the object incoming. Imagine, this technique would not be very precise in terms of its target-area. so you have to launch yourself some million kilometers away from your target and have to travel sub-light over there. Now imagine this-day cargo-ships would randomly appear somewhere in the ocean 10km from the shore. That would be a dangerous mess, so travel would be aiming above the planets plane and use classic means to reach your final destination. Besides this, maintain a military formation with this circumstances would be a nightmare, so dropping out way ahead your target and take time to reformat yourself would be a common thing. But only IF you have this little random thing.
FTL-Flight Will go from A to B using some kind of actual flight. You may need to pop out this flight to aim for your target again, but if you can adjust you speed down to barely-faster-than-light you could approach pretty well. If you can even observe what happens outside your ship, you could approach planets very carefully. Okay... with the double speed of light. Cut this ;) Another thing is, that you may not create such a burst of rays when stopping your travel. At the very end, you could do a airport like schedule at your space-ports, assigning flight vectors to different ships, when you can be sure of their flight-paths. Doing a military formation would be more easy too, plus you could do shortrange-flights to avoid weapons. Otherwise, you will face weapons that can do this too...
smooth travel means that biological beings does not feel uncomfortable in any way when performing such travels. Then space-faring would be a big adventure everyone brave and wealthy enough could participate at. Like said before, this would remove many stupid pilots early on from your universe. At the other side civilian adventures would rise. Jump in your space-yacht and fly off to a unmapped system, maybe finding exotic materials you could claim. Whole companies would employ people to do this. But as a government you would lose the ability to keep control of what your less lawful citizens are doing out there. Get a flight-plan with stop-and-orientate-stops of a ore-freighter and perform a space-piracy act... no one could hinder you. I mean, this days governments fail to prevent all crime at their very 2d countries, so how they should keep order in an endless space in three dimensions? Secret hideouts would pop up at every asteroid usable.
hard travel means that biological beings (and maybe dead structures too) do suffer in varying degrees from travel. No one would do this for fun. If you have a hibernate-chamber to counter this, you need heavy support of a computer to get the ship out of trouble while you wake up again. Even more, why employ human pilots when all they do is sleep? I think under such circumstances all mundane tasks would be done by AI-Systems, and humans will be deployed where more decision making is requested, like exploring new planets in close details. And when traveling from one system to another, you would hop in something that like a big sleeping-wagon. Hmmm... fifth element did this, if I remember correctly. But they never said why this was done (the bad guy was able to ftl without sleep-chambering). Anyway, when it hurts, people would avoid this. When no single unit civil ships do crowd the universe, the government would have a much more easy task to keep order.
So, now feel free to combine them as you like. And think about other ways. When you need a kick-start for your brain, look into the "Sword of the stars" universe, where they do use a whole... five different types of ftl-travel. Railroading at gravity-lines, short-distance-teleporting, classic warp, star-gating from system to system and sling the gravity anomaly your fleet creates through space. But for gaming purposes, they are pretty similar otherwise.