"But then today he was commenting on wanting time to cuddle her without her talking to her other partner"
The potential issue that I see in this is that he's saying that he feels like he can't have one-on-one time with his partner without her other relationship interfering... while allowing his other relationship to interfere with his one-on-one time with you. It's one thing to mention that it's bugging him, but if it's all the time, I think it's perfectly reasonable to point out this hypocrisy to him and ask him to dial it back, and to not share super personal things.
The major players. Me, 30ish bi female. Gia, girlfriend of 4+ years. Clay, boyfriend/dom. Davis, ex/friend/"it's complicated." Eddie, roommate & fwb.
The supporting cast. Eric, Gia's husband. Bee, Gia and Eric's toddler. Dexter, Gia's lover. Helen, Eric's lover. Izzy and Nikki, Clay's partners. Liam, Eddie's husband.