There are various aspects to linguistic drift to consider. The example that comes to mind is American Southern English, which preserves archaic words like "yonder", but also pushes the vowel shift such that using "drunk" as the past-tense of "drink" is necessary because "drink" and "drank" are pronounced more or less the same[1]. See also: Yorkshire English preserving rimnants of thou and thee long after they fell into disuse in most other dialects.
There's also the matter of top-down influences. Using English again, most of our whacky spelling comes from the establishing of standards more or less mid vowel-shift, so everyone kept writing for the old pronunciation, but speaking with the new. There's also the way in which "thou" fell out of use, which is to say, it became seen as rude and low-class[2], which trickled to the rest of the Anglophone world from the well-connected politeness-influencers of the Elizabethan era. Compare to the 20th and 21st centuries, where regional dialects in the US rapidly started to flatten with the spread of mass media, especially movies and national television programs. The English of today is certainly mutually understandable with the English of the earliest audio recordings, but I doubt many would have trouble distinguishing Edwardian English from Millennial English, for most dialects.
As for life-span, life expectancy has increased over the past 150 years, but mass media and the overall rate of cultural and technological change has made it such that one could argue that Millennials and GenZ are speaking different dialects from their grandparents, especially if they're from a region with less media influence. Meanwhile, the life-expectancy among American Southerners, and indeed most of their ancestors all the way back to the Scotch Irish[3], have generally had below-average life-expectancies, but have arguably been slower to change.
My conclusion, then, is that, if longer life-spans would slow linguistic drift, it must come with the old having a great deal of cultural influence, and perhaps even some stagnation besides. It seems that things like pronunciation are more likely to change randomly, whereas the loss of archaic words and phrases is more likely to come from being connected to the wider cultural influencers. Isolation and rurality seem better predictors of archaicisms than lifespan, but it seems that isolation and rurality negatively correlate with lifespan. So long-lived, insular, gerintocratic rural subcultures seem like the most stable.
- [1] There are many dialects under the "American Southern" umbrella. I don't even think "American Southern" is an official term. And there's a lot of local variation as well. Generally speaking for the set of dialects I'm most familiar with, though, the drink/drank merger was pretty prevalent before the internet and affordable cable.
- [2] To grossly oversimplify, anyway. It's more like "thou" (or "thu", because I have no idea how to get my phone to type thorn) was the second-person singular, then the French introduced the T-V distinction, and also took over polite society, so using "thou" the old way was a peasantly trait. Then using it at all. Interesting that political correctness managed to wipe out a whole pronoun, but profanity remains exactly the same, and even grew stronger over the past generation or two.
- [3] People in the South have always had diverse backgrounds, and those have jointly influenced the resulting dialects. I focus on Scotch-Irish, rather than Cavaliers or the numerous African ethnicities or Indians, because they were saying "yonder" for centuries before coming to America, whereas the others (excepting the Cavaliers) were speaking completely different languages. I should also note that, as of about GenX or so, "yonder" became something of a class marker, such that you can tell a lot about someone under 50 based on whether or not they use it casually. And it rhymes with "under".
* I am not a linguist. On the off chance this answer seems acceptable, please do wait to see if an actual linguist shows up and tears it apart.