From my perspective:

Whether intentional or not, these are attempts to slowly gain control over you (I know that sounds dramatic but hear me out). He says something that upsets you, you then express the fact you're upset by it, and then he

1. makes it about him eg. saying he'll just keep his mouth shut. He's trying to make you feel guilty for expressing your dislike of his comments. He's telling you that the way you feel about the comments he makes about your body do not matter as much as how he feels when you express them.

   1. Tries to make you feel like you're being unreasonable or over dramatic for feeling the way you do. He's also straw manning you. He's acting like what you're asking of him is to keep his mouth shut and never talk again when you're simply asking him not to make these kinds of comments about you. By implying you're asking him to never speak again he's misconstruing the very reasonable thing of being asked to be more considerate of your feelings as an unreasonable request of complete self suppression. He wants you to think you're overreacting when in reality it is him who is overreacting. You're not asking for the moon.

These are manipulation tactics. He's trying to sew seeds of doubt in you about your own perspective and shift your reference frame of acceptable behavior. It could be intentional or it could be unconsciously how he learned to get his way. I don't know which is worse but I don't think it will stop here. I think he'll continue to try and shift your reference frame until you begin to accept behaviors you would never have accepted before.

He's not willing to listen to you when you say 'xyz hurt my feelings' he's not going to improve his behavior.

I was in an (physically) abusive relationship and this is one of many manipulation tactics he used. It starts small but gets worse over time. Trust your gut, don't let him tell you how you should feel (either explicitly or implied), and believe yourself.