Expanding the commute availability circle does not increase the supply of housing, because people build sparser neighborhoods with larger lawns. If you want to increase the supply of housing, you need higher density, not longer distance.

What longer distance does is make the closer areas more valuable, because people will pay $$$ for a shorter commute. And for those who can't afford the closer housing, they get to pay $$ on a car and gas instead.

Cars are only helpful in exactly two scenarios:

1. You live in a remote rural area where any sort of transit infrastructure is comically infeasible. 99% of the people posting here do not quality for this.

2. You live in a city so maliciously planned out that living without a car is unthinkable and that any other option to get to where you're going is not available.

I use the word "malicious" because the gutting of American cities' transit infrastructure was a deliberate act by American car companies giving their competition the mafia bust-out treatment.