There is no issue with Stuka close air support the ability is balance from my point of view.
I find it too cost effective.
I also find the lighting commander too strong in 1vs1. G43 allows delayed t2, Tiger is one of the few viable option for Ostheer and Stuka allows the Tiger to fight back even when swarmed.
On the other hand given the current state of Ostheer, imo the issue is less important (than the performance of loitering planes across the modes).
But it is interesting that you don't want the P47 being equally powerful and do the job it was design for.
Read my post from start, you will get a bigger picture. The P47 "Job it is designed to do" is not a one button hard counter to axis super heavy tanks that would nullify them.
As I have explained I have played the game when P47 was devastating and the game was ugly.
And once again loitering planes do not need simple changes but an overhaul. Their performance is very inconstant across modes.
And finally once more making abilities identical does necessarily promotes balance since each faction is designed to different strength and weakness (and off-maps is one of this design characteristics.) For instance giving soviet the power UKF off map abilities would make them OP.