The majority of states have training requirements fo a CCP. I am in PA, which does not require training, but that would have no affect on my right to carry in say New Jersey, which would have to honor my permit.

NJ has outlawed HP bullets, so I could bot HPs in my gun. NY could ban semi automatic pistols so I would have to buy and carry a revolver. The federal bills do not deal with such things so antis in state governments could come up with state laws that would effectively limit the practicality of carrying while still required to honor another state's permit to carry.