Dear 100 Hour Board,
It's socially admissible for women to stipulate a minimum desired height for men on their dating app profiles, but if men included a maximum acceptable weight for their prospective female mates, it would be considered at best superficial and at worst misogynistic.
Why the double standard?
I think you're right in the sense that both cases are focusing on the physical side of things, and it seems unfair that women are allowed to do it permissibly. But they do break down to be different things pretty quickly, with perhaps the biggest example being that weight is relative. Two people can both weigh 120 lbs. and look vastly differently, as well as be in different conditions of health. Additionally, someone could weigh 150 lbs. and be healthier than either depending on their body fat percentage and body composition. Height, on the other hand, is a bit more straightforward and says little of one's health. As Ento mentions below, there's also cultural connotations that make one topic more sensitive than the other.
Again, I want to state that you're not wrong. But I do think there are flaws in your reasoning, though they're not as present in this question as they are in others. It is good to promote health and healthy habits, as well as social equality, but your methods don't seem to be helping your cause.
Would you actually put a maximum acceptable weight on your dating profile if you could? I wouldn't, even though I find girls who are slim to be decidedly more attractive than girls who aren't. Why? Well, there are a couple of reasons. First, I have no idea how to relate a number of pounds to a healthy (or attractive) body weight, especially since it varies so much with height. Second, if I see a girl's profile with some arbitrary "Swipe down if ..." statement, I usually swipe down, because it does look shallow, and I don't have any delusions that things like that won't look shallow if I say them.
Being overweight has a very negative connotation in our culture, and that's why people don't like it when you bring it up. I feel like the underlying sentiment of your question is that physical attraction is personal, and that the world doesn't get to tell anyone who they're allowed to find attractive, and I agree with that. But I think you're approaching the issue the wrong way.