The clue is right there in the name
You’d think so, but plenty turn their nose up at various things. Would you eat: horse, kitten, human, lamb that you’d seen in the field, rabbit that you’d have to kill yourself, etc…?
Some would say “all of the above” of course, but different people have different levels of squeamishness / morals. The “omnivore” moniker is a bit of a misnomer, which is kinda what I was getting at back there.
I take your point that some veggie ‘alternatives’ are very different to the meat dishes they’re replacing; however, from what I remember of meat hot dogs (last time I had one, twenty years ago), the veggie versions are as close to identical as makes no odds. Which isn’t all that surprising given how much “meat” there actually is in a conventional hot dog.