To prove her point, Shayk stood up to give Gaga and Cooper a standing ovation after their performance, and hugged Gaga, 32, when she returned to her seat.
"I certainly think [Gaga] references me a lot in her work", Madonna replied when asked about it in an ABC interview.
Cooper started the pair off before sitting close to Gaga as she played the piano.
Gaga and Cooper, if you're listening, could you guys maybe try being less hot together? She added that the relationship between them became focused exclusively on Cooper and his needs before the pair eventually agreed to go their separate ways.
As the star is wont to do, Lady Gaga also turned heads on the red carpet - this time with a 128.54-carat yellow Tiffany diamond that was worth nearly as much as it cost to produce A Star Is Born.
The On The Floor hitmaker revealed she told the 44-year-old actor he had nothing to "worry" about moments before he went on stage at The Dolby Theatre in Los Angeles.
Afterwards, Jennifer gushed about the 'amazingly handsome, intimate performance'.
"I'm just sayin' - it happened with Brad [Pitt] and Angelina [Jolie]", Luenell told Us Weekly, adding: "I don't see how you do not fall in love with your costar".
Others hilariously pointed out that while Bradley and Gaga clearly have undeniable chemistry, Irina Shayk, Bradley's girlfriend, was watching in the audience.
In an interview with Zane Lowe on the DJ's "Beats 1" radio show in 2016, Gaga said, "Madonna and I are very different".
Shallow wins: 'My family is here, I love you, mom and dad.
After being handed the award for best original song, Gaga thanked Cooper, who not only served as her co-star in the film but was also the director. Thank you for believing in us.