Earlier quoted context omitted.
Visa would also be a middleman. Or even the post office if you only accepted mailed cash.
There's also gratipay, which doesn't take a cut. Still the credit card's cut, but gratipay offers bitcoin payments, which, if they implement it right, would eliminate the middleman (unless you count miners as middlemen) when the financee cashes out using bitcoin. If they implemented it wrong, then coinbase is the middleman.
And tell me, how does one cut out the middleman when they convert their Bitcoin earnings to US dollars or whatever currency they prefer?