Jarett Walker writes well about this coverage vs. ridership tradeoff: https://humantransit.org/2018/02/basics-the-ridership-covera...
And I know rideshare has a bad reputation because of Uber/Lyft. But government can create rules they must follow to accept these funds. They can either accept those rules or some other company will. Or maybe a government rideshare service is a better option. This is a classic free market vs government service question and there's many options here. But the important point is allowing everyone to use rideshare as a transportation option.
Heck, the ridership on some extended bus lines is so bad and so expensive the city would have been much better off buying each person a small car and focusing the rest on more used lines.