There is the argument that somebody who is paying is going to value the service a bit more.
There’s also the argument, elaborated in that article, that the main reason people (low income or not) don’t take the bus is not that they find the fare expensive but because of the quality of the service, especially frequency.
I take the bus to work maybe 80% of the time from a rural area, I work 9-5 so it works OK, but if I miss the one bus home I am in a world of hurt because I have to wait two hours for the next bus. If the bus ran every ten minutes that would be quite transformative. For instance if you miss the bus or the bus was only 90% reliable it would be no big deal.
People will say that the population is too dispersed in my area and that it couldn’t support more frequent service, but there are several population concentrations on the route and the bus is frequently close to 50% full (when they replace the full size bus with a mini-bus, they sometimes have to leave passengers on the curb). If buses ran more frequently there would certainly be some “induced demand” as more people decide buses will meet their needs.
It’s possible that more people would take transit if the service was more expensive but better quality.