The kernel in use is literally meaningless. Sony’s userspace is unique and the graphics stack is fully proprietary. Same for Nintendo.
I find that to be an annoying thing with Japanese software in general, gaming or otherwise: more proprietary garbage than Western software and practically hard-coding it to 100% force you to use the software in the way THEY intend for you to use it, not how YOU want. Makes for worse Linux compatibility at best, if any at all, compared to Western software. Note that I’m purely talking about native or straight Wine Linux compatibility, not Steam/Proton, which works around those issues well.