If someone deleted his own ig will his message disappear on my inbox?

I used to talk to a guy and we stopped texting each other until he blocked me so I blocked him back I was scrolling today and I didn't see him on my message list and I looked on my blocked list he wasn't there. No man in my blocked list. I wonder if he delete his own ig that it also remove his name on my blocked list but I also wonder what happened to his dm to me even if he deleted his ig would the message still stay oj my inbox? The message is also gone. As well as his name on my blocked list.
If someone deleted his own ig will his message disappear on my inbox?
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