I said:

Public transit doesn’t work in sparsely populated suburbs

You said:

Your assumption was that collective transit could not work in suburbs.

As you can plainly see, that is not what I said. Also, it is not an assumption but an observation of the real world.

I offer that is can work. I fully agree due to socio-political reasons, it would not work.

Notice how the second sentence is a stronger assertion than what I said, but I'm willing to concede that it may be true. What is plainly obvious is that it does not work in practice, whether it would or would not work hypothetically.

In the real world, neighborhoods with economically viable frequent public transit require more density than the typical North American suburb. So we can start by fixing density, as the only reason these suburbs are so prevalent are dumb zoning laws that prevent anything other than single family homes to be built.