Funnily, after playing with both for a couple minutes in the store, I decided on an SE exactly because of 13's screen. Because of rounded corners, the way it rendered content sometimes became downright ugly and didn't actually grant any extra space: http://puu.sh/JdxXl/985552f316.jpg
This is why I like my Shoei Neotec (I) modular / flip-up helmet. Especially since I got it 40% off when then Neotec IIs were announced. :)
The integrated sun visor is also nice.
edit: settings -> general says it's an iphone 12 mini
I just hope the 13 has better battery life than the 12. My 12 mini drains half the battery on idle within 24 hours if mobile data is enabled.
https://i.imgur.com/HZNUoVd.jpg
The iPhone SE has completely rounded edges which is more pocket friendly in this regard.
SE would have been my choice if Apple never released this model.
Mini is slightly smaller than SE and it's a crucial factor for me. And it also has more usable screen and where initially I was wary of FaceID - I don't miss the button! :]
I hope Apple continues with SE+mini merged model for the future.