Will unread imessages be saved on a replacement Iphone?

I recently damaged my Iphone to the point where it no longer turns on and I'm going to have to get a replacement. Once I get a new iphone will any texts and imessages I received while my phone was unable to turn on be saved onto the new phone?

Nope. Doesn't work like that. Only thing that MIGHT happen is if the guy at the store can get them to transfer over. Probably not but you never know.

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