Should I be mad at my boyfriend for texting his ex this?

She: But everything is going great and you’re really enjoying your time with her?

He: Im not discussing anything in detail but it's going okay

Her: I know you won’t and I won’t press for details.
Are you enthused about it? Or is that too much detail?

He: I don't trust you to discuss anything. You always try to hurt me.

Her: Yeah. I did for a long time. Then I got hurt after trying my best to be nice and realized damn that was rude of me to be self centered for such a long time. So, I understand your hesitation. And I understand you love her and things probably are going great and probably always have been but you were nice enough to spare my feelings.

Him: I wish I could too but history suggests that that is a bad idea. I've been burned so many times and the more I say the more you've used against me. So it makes no sense for me to say anything.
Maybe one day and through a different medium but you know my position and my strong hesitation to discussing anything with you.

She said: I dunno what to say. I’m sad you’re not in my life (my fault) and I’m still curious and sad as to why I’m not enough and she is even though you told me otherwise. I wish I could have answers but I know you don’t want to be pressed (you said you didn’t wanna talk). So I guess goodbye then? I do Not think you’ll ever want to talk to me.

He: I'm extremely hesitant to but I would like to speak one day with you. There's a couple things I want to talk about. But if it's going to be a shit show or rehashing things, there's no reason.

She: It would mainly just be a final convo and I’m ok with that. Just kinda sucks

He: Unless one of us dies, I highly doubt that it would be the last convo ever. Maybe some time next week or the week after.