I think Gaga's main persona this era is Elvis Presley.
Proof:
Elvis Presley was known for his fame (something Gaga is obsessed with)
Elvis and Gaga share their approach on music Rock/-Pop.
"Joanne" is the most Elvis sounding record ever.
Gaga's masculine attitude and way to sing:
This is literally a throwback to Elvis:
Tony saying this about Gaga:
"The minute I heard (Lady Gaga) sing, I knew that she really knows how