Perhaps Dogme 95/Dogma 25 films are in a genre of their own, but they're not "genre movies." People make the same argument with "literary fiction"/"non-genre fiction" vs "genre fiction." The terms have meaning whether or not you want to acknowledge it.
Dogme is more of a methodology than genre. Genre usually means settings and tropes, like scifi or horror or superhero.
Though I’d argue that rom-com, period pieces, and biopics also are “genre”, at least to the extent a particular movie just paints by numbers within those styles.
I find that hilarious, like proclaiming that only other people have an ethnicity or an accent. Because of course Dogme is a genre of its own.