Y'know, cross-gen doesn't bother me. It's just not a big deal to me one way or the other.
It's been a thing for 20 years now, with some games released in 2000 & 2001 being released on both the PS1 & PS2. There were PS2 games from 2005 & later released on the 360 & PS3. And cross-gen continued into the start of this generation. The ultimate example was FIFA 14, which launched simultaneously on PS2, PS3, and PS4, as well as 360 & XBO, making it the only game released simultaneously on three separate generations. Now, it is true that first-party games have generally not been cross-gen outside of a handful of exceptions (Twilight Princess and Breath of the Wild come to mind, but the two systems each of those were released on were very similar in terms of power), but it's really no bigger of deal than third-party games being cross-gen. And with the power gap not being as pronounced with each successive generation, it's probably easier to scale early-gen games back to last-gen specs.
It makes sense from a business perspective to do cross-gen for a limited time as the new systems still have a small install base and there's still a lot of people who haven't transitioned to the new systems, so why not wait until there's a decent install base (say 15-20M units worldwide) to cut off support for last-gen entirely?
Also, it's not like games released super early usually take full advantage of the new hardware. Boundary-pushing games released in the first year are rare. So many current-gen-only launch titles end up looking a bit dated compared to later games in the generation. About the only launch window PS5 or XSX/S games I know of that have gameplay mechanics purposefully designed around the SSD are Ratchet and The Medium.
And besides, the new-gen versions almost always look (and sometimes play) substantially better. I know, because I've played a few. For example, I played Burnout Revenge on both PS2 & 360 and Destiny on both the 360 & PS4, and in both cases the newer-gen version looked way better (and Burnout Revenge on the 360 even played better than the PS2 version). Granted, those differences may be less pronounced than in past generational transitions for reasons mentioned earlier, but they'll still be there, especially when comparing base model PS4 & XBO games to PS5 & XSX games.