I'd leave any company where they tried to enforce that. Thankfully I'm at a career point where I get to decide without leaving, but I still regularly tell recruiters I'm not interested on the basis of OS and platform choices. It matters that much to my happiness.
So yes, the objections will be shortlived because anyone good enough to have options that don't like your choices will choose not to work in your team.
I respect your preference. I now prefer the tranquility of assimilation and consistency in my career. I would also tell recruiters that I do not care about OS and platform choices, as long as they are uniform across unique teams.
So yes, the objections will be shortlived because anyone good enough to have options that don't like your choices will choose not to work in your team.