gentle fist is a technique that can be learned i'm not asking to be able to use it off the bat but i am asking to at least someday get the opportunity to learn the basics of it perhaps from a teammate that is hyuga.
Well the Phoenix Chakra is not a kekkei genkai...... a specific chakra can't isnt kekkei genkai by that logic that'd make tailed beast chakra kekkei genkai or star chakra kekkei genkai which they are not. A kekkei genkai is a specific ability given by the type of chakra they have. The Phoenix Chakra is just a rare Chakra Type variant thats all.