This problem exists for me on a Pixel 6 with the latest build.
I found another post about swiping problems, but this current post actually directly describes my problem as well.
For me this started today (27 Oct), and just started randomly, not having rebooted, and my OS was already updated a couple of days ago to the latest build (2023102300). Rebooting did not solve anything. Swipe up doesn't work to get to the home screen. Swipe down to get all the way down is "difficult", and swiping notifications off is almost impossible. There is considerable lag, especially when typing.
As for differentiation between Owner and secondary profiles, this seems to be the same for me across profiles. Marila's suggestion of deactivating Wifi before changing profile didn't have any effect for me.
I have noticed that upon rebooting (owner profile), once, at the very beginning swiping up worked again for a short while, and then stopped working again.
I also note that upon rebooting, I am getting the system notification about optimizing some apps after update (2 out of 2, or 3 out of 3), even though the system was updated days ago.