"Snopes fact-checked a right-wing parody site, therefore they're biased for the left" is a meme that gets mentioned weekly on any political argument/discussion forum. It sounds persuasive as long as you don't look to see whether they fact-check left-wing parody sites too.
I will take the reply-less downvotes to mean "I wish that weren't true." Feel free to search 'site:snopes.com "the onion"' if you like.
Snopes and its staff may well be left-leaning (everything is left-leaning if you're right-leaning enough, and vice versa) but their tiff with the Babylon Bee is not evidence of it.
Yes and, by the same logic, most of the people responding to your comment, despite its veracity, will be people that took issue with it and so they'll be right-leaning.
I think you're 100% right that it's the "I wish it weren't true" crowd because, if it was, they would have reveled in assailing you with links to the contrary.