In terms of what we're interested in here, widescreen is notorious for cutting out nudity at the bottom of the screen. Like Jessica Pare's brief nude scene in Stardom, for one example.
So yeah, a full screen version of this clip of Kelli Garner could be really nice.
I thought that neither actually cut out parts but simply resized it
In simplest terms, nothing is "cut out". Most films are shot in various degrees of widescreen. But when a film is pan-and-scanned, typically information is lost from the sides of the frame, but gained at the top and bottom (thus creating more of a square picture). I don't have a source for you (maybe there is even a thread here somewhere that discusses it), but there are plenty of films that have more nudity in the fullscreen version than in the original widescreen.
Mind you, this is not to say that fullscreen is the better format. It certainly isn't. But on that rare occasion, fullscreen can carry this advantage regarding nudity.