I see your reasoning. All good points. Boy, there are no easy answers. In my case, I don't want a divorce. In fact, if I wanted a divorce, my wife might think I'm so obsessed with sex that I don't care about anything else. Yes, it's hard to figure out beforehand how someone will interpret it. You took it one way, but my wife might take it the other way, just as you say.
My wife's stance on sex is "maybe, but not right now" and "I don't want to feel pressured". And "now" never comes. She apparently believes that herself too. Yes, she intends to, but there's always something else at the moment that's more important.