Competition > Regulated Monopoly > Unregulated Monopoly. (A duopoly which decides not to compete isn't really competition.)
I think the regulated monopoly model makes the most sense for the last mile connection: make it like what we had with DSL where anyone can rent the wire and competition happens at the service level. I wouldn't mind Verizon offering a ton of bundled services over FIOS if I could simply buy only internet from someone else.
Fiber to the Home is an extremely marginal economic proposition today. It's not deployed today. Without strong economic drivers for it, it won't get built.
I'd accept that once FTTH exists (bringing fiber back to a neighborhood point), that might be good enough to not require more competition at that level (as long as maintenance can be done.) I'd in principle be fine with any solution to get that built -- a regulated monopoly, direct government buildout, whatever.
Also, not sure you've looked at FTTH recently enough: Verizon alone has 32 million customers according to https://en.m.wikipedia.org/wiki/Fiber_to_the_premises_in_the...