Jay grew up in a close loving family, they are a huge part of what has made him the man he is. He has never felt the need to create a family because the one he was born with has never failed him. He likely doesn't recognize Loren's team as anything more than very close friends. The same way he views Seamus and the guys who despite being defacto brothers are not replacements for the ones he has. For him it's incomprehensible to imagine life without his family, the void would be enormous. I think when Jay learned what Loren's parents did to him it reinforced how lucky he is and he resolved to share his family's unconditional love not because Loren is broken but because he deserves it. In his own way Jay is trying to give Loren the most precious thing he has outside himself. However, Loren takes offense because he hears in Jay's clumsily stated offer proof that Jay views him as "broken". To me this suggests that there remains a part of Loren that is damaged. A part that despite all he has accomplished believes he is unlovable. I think it would be good for him to have more people who love him simply for himself not because it's something he's earned. Neither Jay nor Loren are wrong, they're both behaving appropriately based on their disparate childhoods.
I'm trusting our author to resolve things satisfactorily. Afterall, angry readers with pitchforks and torches are troublesome.