I don’t even think Conner wants “access” to Jana, he wants to be able to still have relationships with Kenny, Miguel, and Kordell but he basically can’t because Jana has a personal problem with him and that’s what’s unfair. I think she’s in her right not to want any relationship with him, but it’s wrong to police those around you and tell them they’d be fake if they hangout with this guy who really didn’t do anything that bad to you
The other guys should just do what they want to do I feel like. At the end of the day the only person who truly owes her that loyalty is Kenny, and even then if this is that important to him he could leave. As for the other guys they aren’t in a relationship with her and should pursue a friendship with him if they want to. Personally I’d be thrown off if I was her but at the end of the day they’re their own person and the most Jana can do is ignore them too.