tl;dr!
I agree! Psychologically, I think Tim's making perfect sense here, tragic as it is.
Even if Bruce is alive in a sense, which we know he is, Yost is making it clear that Tim's thinking he's alive isn't about not trusting his death because of his past (though Dick even did say in one scene that given all the people who have returned from the dead Tim could very well be right about Bruce).
It's that he can't deal with death. This is what drove him to the edge of the Lazarus Pit once already. He deals with death by trying to fight it and make things "the way they were." That Bruce happens to be alive is almost irrelevent. This is just the way Tim deals with his death regardless.
And they seem to be setting him up to show (as they've established was always a danger for him) that he'll turn away from life (his family and friends) and make questionable choices (start listening to Ra's) for his obsession. Saying that the anti-life equation has a point while also rejecting his friends and family for caring about him? That's a guy not only scared to deal with the idea Bruce is actually dead but cutting himself off from other people because he's scared he'll lose them too.
And I don't know how intentional it is, but it's always painfully contrasted with what's going on in Batman where Dick and Alfred are able to take comfort in each other. Hence Alfred telling Dick that he didn't think he could bear doing this without Bruce but he's actually been able to find some joy in it because of Dick. And Dick saying the same thing back. They take comfort in knowing they share the same grief. This week's Batman even reminded us again that Dick's the Bat who isn't afraid of death so isn't obsessed with it.
Tim's now allowing himself to grieve, so he can't stand to be around them. It's not just that he thinks Damian's an insult to the uniform, it's that Damian represents a new order and moving forward. That's why he keeps associating finding Bruce with putting things back the way they were, as if he could go back to being Robin either way.
I just think it's actually surprisingly interestingly and real look at grieving, this whole loss of Batman, the way they're showing it effecting everyone as a family first and heroes second. And it also makes for a really cool contrast with the two sons coming of age. Dick, even in more pleasant continuities, was the son who struggled to establish himself as independent and had the problems that come with that. Tim's getting kicked out of the nest and fighting it.