you know that whole "do you think we are best friends in every universe?" shtick? personally not my thing but inverse! harry is so "do you not trust me in every universe/timeline?" to albus... if that makes sense?
that makes PERFECT sense tbh! It's arguably Harry's number one issue with Albus.
Whether Albus means to or not, he establishes a very distinct bond with Harry early on by giving him lots of information and encouragement, far more than he does with any other student or character.
People get hung up on "CAPSLOCK!Harry" or whatever, but it's so obviously part of why Harry blows up in OOTP and keeps worrying at the tooth that is "Dumbledore is avoiding me and not sharing critical information". Why would he care if he wasn't accustomed to that? Even after Dumbledore is gone, losing a chance to learn from him and be trusted absolutely by him is what Harry is mourning most.
all that buildup to say, yes, Inverse!Harry is definitely the type to feel like he just can't get past Albus' walls. He doesn't expect to meet Albus at all, but goes into their "reunion" constantly assuming that there's no way he can earn Albus' trust even if he tries to be as unthreatening and unsuspicious as possible.
Little does he know that he has a much better chance of becoming one of Albus' intimates now that he has the fun cheat codes, also known as "time traveler + talked to you in the afterlife and learned all your dirtiest secrets, while visibly Loving You Anyway".