Earlier quoted context omitted.
> What if babysitters of one race didn't want to sit babies of another race? Should they be forced to? I have a hard time seeing where you think this is a tricky question. Let's imagine a terrible person, so terrible that there are no moral issues with just making them do whatever we want. We've got a racist white babysitter who hates black children. Fortunately, we know better than they do, so we're going to... shut…
You're missing the option of "kick them off the platform entirely".
If they all leave the platform, it shuts down. Nobody gets a babysitter. If they all pretend not to be racist, you get black kids being looked after by closet racists.
It's not obvious to me that this is better than the situation where babysitters are allowed to be racist, and black people have more trouble finding a babysitter than white people. There are certainly arguments that it's better, but I don't think it's a slam-dunk either way.
Fortunately, we don't live in a world where the supermajority of babysitters are racist. But we do live in a world where the supermajority of babysitters are unable to accomodate developmentally-disabled teenagers.
We can shut down the babysitting service, or we can make the service pretend to acccomodate DD teenagers while failing to actually take care of them. I'm not convinced that "force babysitting services to actually successfully accomodate DD teenagers" is even an option.