I'm looking at a few mini throwers for sale with Black Friday discounts.
Thrunite Catapult V6 : $52
1700 lumens
750m
Lumintop ODL20C : $60
2000 lumens
860m
BLF GT mini : $35
1200 lumens
750m
Nitecore TM16GT (HUGE)
Yes it is common to see the donut.
There is an empty space between the LED and the reflector that is noticeable
when shining a flashlight up close to a white wall.
You might even be able to detect the squareness of the LED too.