Thx for bringing this up. Personally speaking, yes - but, depends on what you're used to. I'm 69, been running for 43+ years, so I'm a long-term experiment of one. I was weaned on waffle trainers, adidas trx trainers, and the first of many classics like the gel-lyte, epirus, saucony flite, etc.
In the early-mid 80s when nike came out with "air," I was instantly into plantar fasciitis territory. When the high-stack, stability Asics-Tiger x-caliber GT came out, I was into severe ITBS. Bottom line for me: super cushioned, high stack shoes have always caused me temporary injury that's almost immediately resolved when I change back into what has been my mainstay, except more recently.
Skechers Hyperburst two years ago: relentless piriformis for 2+ months, but I could jog. I had been in the Zoom Elite 9 w/ no problems. First lasting injury in my 40+ years.
Hoka Rincon and Torrent: Currently sidelined for over 3 months w/ PF - just in the attachment to the heel, and as of last week, now in a boot! Worst injury I've ever had - psychologically its killing me.
I bought into the line that, "...older folks need to protect their bones, etc." BS. I should have never left my Boston 6-9 iterations, and the adios line.
I know there are older runners who swear by max cushion - that's great. But for me, they are anathema. When I get over this PF - if I ever will - I need to find a shoe more akin to the adizero line - something like the Kinvara 12, maybe.
There is some evidence of a link, but again, everybody's different, for sure.
https://pubmed.ncbi.nlm.nih.gov/29900183/
https://www.trainingpeaks.com/blog/is-more-cushioning-better-for-long-distance-running-shoes/
https://therunexperience.com/your-super-cushioned-shoes-are-killing-you/
https://www.researchgate.net/publication/281624364_The_effect_of_highly_cushioned_shoes_on_tibial_acceleraiton_in_runners
Again, it's a highly individual thing, but take note of the change of injuries in the last few years among elites: knees, hips, groin, lower back - not so much strictly foot injuries - kind of verifies what Harvard's Spaulding Center's research found. (Finished Fitzerald's book on running w/ the NAZ Elite, and don't know if it was preexisting, but while there training he took on a groin injury - just speculation on my part.)