A:Answer Yes and No!
If you want your TV, iPhone, iPad widescreen to be filled then YES, the mini does film in widescreen.
This are the some specs on the Mini
The Mavic Mini has a 12 MP, 1/2.3-inch CMOS sensor with a field-of-view of 78°.
The camera can shoot JPEG images in 4:3 or 16:9 aspect ratio.
Video resolution maxes out at 2.7 K at either 25 or 30 fps. FHD 1080p video is also available in 25, 30, 50 or 60 fps. The Mavic stores videos in MP4 format.
So it will look great on any widescreen TV or monitor filling up the screen.
Now I’m assuming that you are referring to Widescreen TV:
The adopted industry standard of 1:78 to 1. This is comprable to most of the so called Widescreen TVs
Now Letterboxed (widescreen) refers to the original format the Movies are filmed in. This can range from 1:66, to 2:75.
If you are referring to Letterbox widescreen format the answer is NO