It’s not apples-to-apples, but I use Pop OS 22.04 LTS (which uses Ubuntu as its base) on a JasperLake processor (N5105). They recently moved to kernel 6.8.x. HW accelerated transcoding with HDR tone mapping enabled still works in that environment with the latest Plex Pass beta, for me at least.
I generally use the LG Colors of Journey demo as my test video for seeing if anything has broken after a new release. Everything’s still working as of now. I may be able to test with an early build of Ubuntu 24.04 at some point.