I'm pretty sure that it's honestly just a joke. Whether you think it's funny or not, that's entirely up to you folks
I mean, yes the whole thing on LGBT rights is a serious matter, this manga isn't using to do anything silly and just used the joke to convey the idea of her airheadedness because she was just talking to nasa about his wife, and how over the moon/lovey dovey he is and wants something like that for herself. It's some old fashion rom com fluff.