I'm no jak 1 mod so take this with a grain of salt, but I would say that it would be no different than the PS4 timing as it also does not have a memory card. This run was just verified yesterday so I assume it was done correctly. https://www.speedrun.com/run/y97vgkkm

Nice videos, unfortunately there doesnt seem to be much use for these tricks in the actual speedruns either :(