Headcanons...
huh.
Blue-pants Rick/Jerry:
I think that Jerry sees some similarities between this Rick and Beth. Therefore, very often Jerry is affectionate and embarrassed. With this Rick he is more courageous because this Rick is not as harsh or rude. I am convinced that this Rick is soft in character and a little silly. Therefore, with this Rick, Jerry often acts more courageous to show that he is able to protect him. Something like “You are my Omega, and I am your Alpha. (this is a meme, sorry)” but at the same time, due to some actions on the part of Rick, Jerry himself is very shy and slow.

Rick/Jerry:
Jerry is only brave when he's angry. Jerry often looks at Ruck's ass. Jerry is embarrassed, but he does it again and again until Rick catches him doing it.
And also a headcanon that Jerry thinks Rick is skinny and constantly tries to feed him. Especially when Rick drinks a lot instead of eating again, which is why Jerry walks around with a face like ">:["