You just ran off the rails.
The "middleman" actually SAVES claim dollars. As much as I rail against mangled care, there is more good than bad. Carriers have buying power to negotiate lower reimbursement than you or I can do.
You said the middleman saves claim dollars. Ok...
Anecdotally it does seem like the middleman eats a lot of $$$$. Overall cost - not just claims. No? No more salary, no more agent comp... no more big beautiful (VERY EXPENSIVE) buildings downtown in every major city - nada, zilch. Heating and AC bills - gone. Billions and billions and billions go to non-claims - aka "overhead" by these carriers. The postage and mailing costs alone for these carriers is in the millions. All of that is gone.
If I'm wrong, I'm wrong.