Yeah but like Hamburger is not from Hamburg though... Maybe you could say Hamburg steak or something but Hamburgers as we know them almost certainly originated in the US.
I don't think accurate food labeling is a bad thing but the contension shouldn't really be around burger to me that's just a pressed shape of cruft but the veggie part. Because Veggie I feel like implies vegatable but like soy-protein or bean mush or impossible burger all could be classified as a veggie burger but like they are very different things and have very different additives. I don't think we are crushing people or industry by trying to accurately label foods though.
I do think that the protectinism to regional foods confusing though. It would be interesting if you could make "feta" elsewhere than in greece for example, but maybe like the originating countries could get a special sigil rather than an exclusively protected food name when its basically indistingusiable to all but a connoisseur.