I disagree. There were plenty of complaints how merely seeing a gay couple walking down the street was an imposition. Having to treat them as an actual couple? Gay marriage, lets not forget, was going to ruin the very institution of marriage itself and what a burden that would be on traditionally married couples.
Except it didn't really. Yes, some people did act as if it's some great oppression if they don't get to poke their nose into other people's business and tell them what they can or can't do, but ultimately they gays weren't really requiring them to do anything else than mind their own business. The fact that some gays down the street got married, didn't really change anything for your hetero marriage. You didn't have any more or less obligations or anything.
It's not even remotely an analogy for stuff like demanding that women now compete against biological males in sports competitions, like some of the new generation of entitled twits are demanding.
Basically if all you have as an analogy is basically "yeah, but some people objected to that one too", then that's not even an analogy. It fails for the same reason why "but they laughed at Galileo too" fails as an argument for woowoo. In the words of Carl Sagan, "
they laughed at Columbus, they laughed at Fulton, they laughed at the Wright Brothers. But they also laughed at Bozo the Clown." Same here. Some things are objected to for good reason, some are objected to for bad reasons, and some are somewhere in between. But you have to establish that, not just handwave that something is valid because people also objected to something else.
In this thread, we're arguing about the kinds of pronouns to use.
That's... at best oversimplifying it, and at worst a motte-and-bailey fallacy. The range of demands has been quite a bit more diverse than that.
I mean, people were already going to refer to people by pronouns and they were already going to have to remember what pronoun to use for each person. The difference here is now there might not be able to reliably assume what those pronouns will be ahead of time if they wish to be polite.
Even there the difference is also that for most people you had a pretty good visual cue as to what pronoun fits. If you remembered even vaguely what that person looks like, that was already cue enough. Just having to remember an purely arbitrary word for each person is not even remotely the same.
And that's not even getting into aspects that actually have a money cost, like demanding that some website or corporate registration system now adds more options than "Mr", "Ms", "Mrs". That can easily mean thousands of dollars for some site that wasn't otherwise even developed any more, if you have to pay someone to come and learn how it works, make the changes, run it through testing again, etc.
So pretending that it's just the same as some gays wanting to be left alone, is cute, but basically nonsense.