No, PS4 controllers do not have HD rumble and no you can't play PS4 on the go. You need a PS Vita and constant internet connection for that (which makes it practically useless and needlessly expensive). And let's not pretend like anyone in the West even has a Vita.
Why do you need a pro controller when the joycons are just as good?
Arrogance is not better, specially when you are objectively wrong.