I am bit too late to the party but I think as a plus-size woman I can share some thoughts on this topic.
I think the biggest difference is that when you say you want a tall man, you don't impose that short guys have any negative qualities because of this, he is just short. I mean, height is one thing, what about penis size? I think this is even more painful discrimination.
Anyway, what I mean is that I totally realise that not everyone will like me (no biggie, I have more than enough men who find me attractive) but other guys tend to speculate about my other qualities: that I am lazy, that I don't take care of my body (you can't imagine how many comments I've seen about bigger women smelling bad or their vagina being too loose etc), that my only interest is eating etc. Or my favourite messages: well usually I am not interested in fat women but you have pretty face, although if you could lose some weight and have smaller ass... These people know nothing about me and most of the time I suppose just have fear to admit they might be attracted to someone my size. Not talking about men who want a BBW mistress but skinny wife
And all of this is bodyshaming, while when you are short, you are just short. No one tries to impose that you are bad or lazy person, talk negative things about you etc. I would compare it more to preference of eye color or accent or I dunno. Maybe short men also get messages like this, then of course I am wrong and it's shaming as well.
But I think what is most important for us all, is to be more respectful, open-minded and just to be 100% honest with yourself, understand what do you actually want and not try to impose it on people who clearly don't match your wish. Also, it's very important to understand which preferences are social construct and which are your real preferences.
Dating world is very cruel and it makes me sad, I always thought it should be more about pleasure and excitement of meeting new people, but this is definitely a different topic to discuss.
Have a great evening everyone