A lot of the glitches in breath of the wild are just systems of the game interacting in weird ways. There are sometimes "glitchless" categories, but sometimes it's very difficult to figure out what is and is not a glitch. Calling something a "glitch" or not is a surprisingly subjective thing. To one player it may be a legitimate use of the bullet-time mechanic to turn frozen enemies into physics cannons while shield-surfing on them. To another it's a glitch. A lot of what gets decided as for the run comes down to the amount of time that using that strategy results in. Lowest wins. Any% in breath of the wild means "kill Ganon ASAP".
If we're thinking of the same Mirror's Edge run, that was meant to be a joke and to bring to light the ridiculousness of a "glitchless" run as a lot of things can be interpreted as a glitch or not.
Interesting! Thanks for this; this happened just as I was getting into speed running, and I, like many others apparently, didn’t realize that, but I did some googling over lunch and it appears this was the case! Thank you for the extra context.