Ok, since more clarification was requested by a couple people, I dug through a couple boxes and found the receipt of when I bought the playstation pro.
This was together with a sale for Battlefield 1 and Titanfall 2 (the 2 other items on the receipt)
Anything that looked like it was identifying I got rid of on the receipt itself.
date of the purchase in my trophy log can be found here: https://psnprofiles.com/Dardiana_1/log?page=27
In the months leading up to the purchase I got more and more issues with online connectivity of the ps4. I got a constant stream of messages connected to psn/not connected to psn, ...
I was still able to play my normal games, so didn't care too much.
More and more people at my work started to buy playstations and were playing online, and I wanted to be able to join in. (this also lead me to get on here and actually track trophies)
Unable to do so, I looked around for deals on a new playstation.
I came across a good deal and bought my ps4 pro.
When I came home, I did a direct connect between the 2 playstations and was able to migrate all data over. (profiles, games, saves, settings, ...)
Fired up the new playstation and once it was confirmed to be working correctly, wiped the old one and traded it in.
I continued to play as normal.
When all my new and borrowed games were done, I decided to pick back up on uncharted 4.
This is when old trophies were syncing with psn, even though I earned them at a previous time.
Since I did sync my whole console, all the screenshots of the original trophies are present on my system, with the original dates (09/11/2016 for https://psnprofiles.com/trophy/4719-uncharted-4-a-thiefs-end/20-shh-sleep-now for instance)
see screenshot for the old trophy https://imgur.com/uQiX62r
and the next trophy earned was this screenshot https://imgur.com/4MmYxBz
don't know why the color of the trophy bar is different. Maybe difference between normal and pro, maybe firmware version upgrade?
when I go back through the trophy list for the game, there is the same trophy with a second screenshot, so I have 2 of them for a couple of the trophies in that game.
in the screenshots, you can also see that the 2 actually popped in game, right after each other.
The trophies for the headshots happen on the first mission of the game even.
If you want, I can export all screenshots and upload them somewhere.
let me know if more info is needed