The 7600X3D is a good shout, but as you say, it means upgrading the platform which then makes it more money, and at that point, you're spiralling down the path of saving even more money to get a 7800X3D so you don't upgrade yet again a year later etc etc. It's a dangerous rabbit hole haha!I'd say it's worth it at that point too, even for gaming.
The difference in FPS on average between the two is around 5%, however there is the odd title that can see as much as 20-30% uplift such as Assetto Corsa. Obviously for other workloads there's some nice uplift there to boot, as long as you're willing to import I'd say the only 7000 series chip still worth buying specifically for gaming, is the 7600X3D which is a very strong offering for under £280.