Maybe a bit at one point because of their upbringing, but I got the "I'll love you no matter what" since I was like 5 with it becoming obvious at one point that it was about being gay. nn so no, they're very accepting.
My mom is lesbian herself and my dad told me that my grandma said she thinks I'm gay cause I had a guy sleep in my bed with me for 3 nights and he said that he replied to her ''so what if he's gay? Then that's just how it is''
And it made me kinda happy.
But he sometimes makes homophobig jokes when he sees very feminine gays.
No but my mum is Christian so I suspect she has some inner concern she's yet to voice to me, but we're all pretty tight-knit. Never talked about it since my coming out like two years ago though.