Next you'll find that you also need to do the same for schools. But schoolteachers won't be able to afford living near the areas that they serve. So you need subsidized housing for them.
Oh, and the same for kindergarten. But what about at-home childcare? And so on.
And no, "land value capture" won't fix it. You'll just move the complexity from giving out subsidies into assessing the value of kindergartens and schools.