I don't find any issue with it honestly there could be delay to a small degree but not hard to acknowledge xD I tend to be ignorant to some stuff~ :x
So far 4 of the game series games are on the ps4. Jak and Daxter, Jak 2, Jak 3 (obviously), and Jak X Racing. I wish the PsP version forget what it's called was ported on there as well :(...