When I point out what his words feel like
This might be part of the problem. YOU are entitled to feel any way you want to. (So is he.) "Feelings" really aren't "wrong". They might be inaccurate, misplaced, out of proportion, lots of things, but feelings are what they are. And there's nothing quite as invalidating, in my experience, as being told that either you don't feel what you do, or that your feelings are wrong. Your feelings are real and they are what they are. So, if you FEEL like he's attacking your character, that's true. But what's true is that you feel that way. It may or may not be true that that is what he's doing. That works both ways. So, if he says he feels like you're not listening, either he really feels that way or he's lying about it. He might be wrong about whether or not you're listening, but he's not wrong about his feelings. (Does that make any sense?) And, to deal with the situation, you both have to find a way to deal with each others feelings.
As far as the phone thing goes, my phone is password protected and no one else has the password. The screen will show I have an email or text, but it won't show what the message is. Why? Because I don't want anyone else reading my messages. If I was married..... I'd probably do the same, because I had some unfortunate experiences with my ex-husband and, for me, going forward, I'm not going to prove to people that they can trust me. They either will or they won't, based on my normal behavior. My experience was that the "proving" becomes endless and I could never manage to actually get there. Which actually fed into some childhood stuff about never being good enough, or "right", or ok, or whatever. That's me, I have no idea what your guy's reasons are.
When you ask him his reasons, has he ever actually given you his reasons? (Could be he's afraid to, if that's something that hasn't worked well for him in the past.)
As an example, the last time my T used the "I can see why you might feel that way...." line, we were talking about talking about stuff. I said I thought it was a waste of time, because it doesn't change anything. That's true, that's the way it seems to me. It's also true that I have a rather long history of answering the "tell me how you feel...." question only to be told that I was WRONG, stupid, lying, etc, etc. I learned a long time ago that the best approach is to keep your silly mouth shut and deal with things alone, because trying to do anything else is going to leave you worse off. There is no WAY I'm going to talk about how I feel. If someone asks that question, it's "obviously" a trick. My T knows that, all of it. He'd still like it if I talked about stuff. I get that. He'd also like it if I trusted him, which I kind of do. But, the reason I trust him is he's never, one time, attacked me for anything I've said. He's disagreed with my interpretation of the facts, but never attacked ME. He's been extremely careful about that.
Anyway, he went on to say there's actually fMRI data that proves your brain changes when you talk about stuff. (He knows I'm impressed with objective science.) So we left things at "Ok, maybe there's evidence that it helps, but I'm not going to do it. Yet, anyway."
did I just live in an alternate reality where none of the above was said?
What makes this complicated is THAT is actually one of the options. Because you've got some issues around this stuff too, and for good reason. So I think it's possible that what you're hearing and what he's saying really might NOT be the same thing, just like what you're saying and what he's hearing may be two very different things. You're both going to be inclined to interpret things through the lens of past experiences. (Which is why have someone like a couples therapist, to keep everyone on the same page, can help.)
So, out of curiosity, if I had a SO who asked why my phone is set the way it is, I'd say, "Because I don't want anyone reading my messages." I'm going to guess, if he saw things like you do, he wouldn't like that. Would I be right? What would happen then?
The thing is, I don't think your guy has gone far enough in dealing with all this PTSD stuff that he can step back and be at ALL objective about his own reactions. He's just caught up in the script he's been living for his whole life and doesn't know how to do anything different. The only thing I can think you can do about that is not play by the script he's expecting you to play by. Do something completely different, but something that works for you.