The SFA and SPL chief executives addressed the 30 SFL clubs over their proposals to put newco Rangers in the Irn-Bru First Division.
The SFL have been offered financial incentives and promotion play-offs to the top flight in return for accepting the plan, should SPL clubs vote against admitting Charles Green's club.
Hutton, whose club are against the newco joining the First Division, went into the Hampden meeting claiming that SFL clubs had been "bullied, railroaded, threatened and lied to" before then claiming the game was "corrupt".
He had lost some of his fire after a five-hour meeting but retained his criticism.
"I'm big enough to withstand it," he said. "I don't feel particularly bullied. I'm just disappointed that a situation of the SPL's making finds itself in an SFL meeting where we are the sheriff, the undertaker, the roadsweeper and the whole of Scottish football depends on SFL clubs.
"That's an abdication somewhere of responsibility. It never was an SFL problem but pressure is being applied. That's unfair.
"The SFA are there, the SPL are there. Between them they got Scottish football into this mess. It's not the SFL's job to get Scottish football out of this mess. There's an element of hospital passes and buck-passing going on."