He deleted my test messages

Those are the messages my boyfriend deleted from my phone. I screenshoted them to show to my friend. The messages are from a guy I saw for little over 2 months about 4 months ago. I just started dating my boyfriend not even a month ago.

I told and let him read the messages after the old guy sent the last one. I asked should I block him or not reply or what? He said it's simple just dont respond, guys get the message. He said it in a way like I should've not replied in the first place.

Then couple days later he was on my phone watching YouTube and I walked by and he was on my texts, and after I got my phone back the messages with the guy were gone. I can only assume it was my boyfriend lol.

So I post this asking, should I talk to my boyfriend about it? Or just let it go, it's been like a week but I keep thinking about it. I don't care he was on my phone, I'd be curious too 😂 and I told him hes always welcome to my electronics. Some may say I should've deleted the messages myself, some might say he had no right to go through my stuff, I don't care so much about that lol just want opinions on if I should talk to him about it or not