Hi, I currently have a Pixel 3a but have had this issue for years on previous Motorola phones.
Basically, if my phone is off, any texts that have come in since it was last on are timestamped with the time of when I turn my phone on and receive them.
Why aren’t they timestamped from when they were sent?
It’s very annoying when I get an incoming text saying “I’ll be there in an hour” and I have no way seeing when it was actually sent.
I’ve asked others (non-Republic Wireless customers) if they have this problem and I’m told no.