I think it's very silly to make the argument that "groupwise hypocrisy" is not a fallacy in such a conversation. In politics, the reality is that people have to form coalitions with people with whom they don't agree on everything, and non-political groupings are even more non-sensical, often holding people responsible for the opinions of other people who happen to share things like inborn characteristics. It's especially ridiculous to explain this with this idea that people are engaging in some kind of elaborate coordination to argue with you on the internet. Yes, some people, and indeed political parties, engage in that kind of behavior, and if you think you're arguing with something like a botnet, there are larger considerations to make about what you gain as an individual by trying to engage with such a machine at all. If I believe I'm arguing about the merits of an idea with an actual person, and I find myself reaching for something like "your group is collectively hypocritical on this issue" to make my argument, this is cause to reflect on whether I actually have any real arguments for my position, as that one is... well, essentially meaningless
I think you're trying to invoke what's commonly called a "motte-and-bailey" argument, where people argue for a maximally-defensible position when faced with serious criticism, but act as though they're proving a much less defensible version of their argument, often including a nebula of related ideas, in other contexts. This is something individuals and coordinated factions absolutely do, but again doesn't really support treating any grouping you want to draw of some kind of collective hypocrisy. Even assuming we care about hypocrisy, it seems like this kind of reasoning about nebulous groups that don't explicitly coordinate would allow making that argument about any position in any context, depending on how you draw the boundaries of the group that day. It's well-understood that you can go on the internet and find someone who believes just about any crazy thing you can think of, or find someone who makes the argument for any position poorly.