I'm impressed by the record you created of the session.
I don't think he wants you to melt down. I think he wants to get you to express anger in a session with him, and I think he wants it to happen in a way that doesn't involve a meltdown. It seems to me that you've formed a connection - that 'getting angry' will always lead to 'melting down'. That's a connection that I formed as a kid, and it is the most difficult part of my stuff (so it's possible that I'm projecting, so please form your own assessment).
Basically, based on the record you created of the session, I agree with the therapist's expressed assessment of the situation. The strategy he's employing does seem risky, but I can't think of a better one myself. What I suggest you do at the next session is to talk to him about your concerns - if I understand correctly, you're concerned that if he goes down the path he has described, that it will result in a meltdown that has negative consequences. If you do have those concerns, then I think you should say so. If he's worth the risk, he'll have an ability to mitigate the risk - hopefully, he'll also be able to explain how he'll mitigate the risk. (He might have the ability to do it without having the ability to explain how he does it - form your own judgement.)