Making bus travel free is not the issue - it already is for over-65s! Making it
exist, on a reasonable schedule, absolutely is. Find out what the Thatcherite bus deregulation was and reverse it.
Even a ridiculously low bar like "every town over 10k people should have at least one bus service on 10-minute intervals during peak commute times" will not be met in a lot of places.
However, other people have a very valid point that this is not just about latency but about bandwidth. It's not replacing the existing links but adding to them. And that will then improve "local" commuting to non-London locations.