"Seemingly reasonable" is a poor place to start.
It's somehow similar to the way so many of us expect actually evil people to somehow come with horns or other evil-indicating visual accessories. The reality is that evil people wear suits, and jeans, and shorts and hats and look just like the non-evil people.
So it is with "reasonable". The fact that someone can phrase their objections to accessibility that doesn't make them immediately sound like a prejudiced ignorant lunatic doesn't actually mean that they are not a prejudiced ignorant lunatic (it doesn't mean that they are either, but you should remain suspicious).
For myself, I had a revelation about such matters when my daughter had major hip surgery (twice). While normally a fully mobile and athletic person, she had to spend several weeks (twice) with a wheelchair. Suddenly it became clear that the accomodations we have made in this direction are not just for people born with disabilities that prevent them from walking: any one of us could find ourselves, either temporarily or permanently, benefitting from ramps and door openers and curb cuts etc.
I am absolutely certain that the same is also true of accomodations made in the direction of visual impairment, hearing impairment and just about any other condition that deviates from some (often hypothetical) state of "full functionality".
Please, protect yourself from the backlash from these "seemingly reasonable" people. They are ignorant, selfish and of limited scope in their thinking. You deserve better.