Yes, if you're drinking for the taste
People who are drinking alcoholic drinks because they like the taste, and not just to get hammered, will continue to drink their preferred beverages.
Alcohol has a flavor
Alcohol itself has a flavor and bite.
In the real world many people like "mocktails", non-alcoholic mixed-drinks which can have recipes similar to their alcoholic counterparts. In the real world, people drink mocktails to avoid being intoxicated, or because they don't like the taste of alcohol.
But those who do like the taste of alcohol will continue to enjoy the full cocktail.
Good cocktails are chemistry, and alcohol is a solvent
More complex cocktails are more than just dumping booze into sugar water. They're chemistry. Water and alcohol are both solvents, but they are different solvents. Some cocktails will not work without alcohol.
Alcohol is an essential part of the production process
Many of the complex flavors of aged, dark hard alcohol are aromatic compounds slowly dissolved by alcohol from the wood barrels they are stored in. When you're drinking whiskey and rum, you're drinking dissolved wood. Bourbon whiskey is stored in charred barrels, you're drinking dissolved burnt wood. Yum!
When a liquor is "aged in a sherry cask" that means it was aged in a barrel where grapes have been aged into sherry wine. The alcohol in the the sherry has caused it to leech into the wood. When fresh hard alcohol is stored in the same cask, it leeches that sherry back out to flavor the new liquor.
Beer gets its fizz and flavor from yeasts which eat sugar and poop alcohol. While low-alcohol beer has existed for some time, and has gotten much better in recent years, it still lacks the complexity and variety of alcoholic beer.
And while one could drink grape juice, fermentation is essential for the taste of wine.
People who want a buzz will move to alternatives
Currently, where it is legal, people will often add CBD, a non-psychoactive chemical in marijuana, to beverages; it gives a non-intoxicating pleasant feeling. THC (the intoxicating part of marijuana), LSD (acid), Psilocybin (magic mushrooms)... without alcohol these will all gain traction as alternatives to get a buzz. And they are much, much, much safer than alcohol.