Scottish Professional Football League board member Les Gray has described allegations of bullying and coercion as "complete nonsense".
Rangers, Hearts and Aberdeen have called for an independent review into the SPFL's handling of the vote to end the lower league season.
"The board is there purely to enact the will of the clubs," Gray said.
"And 81% of clubs voted in favour of this resolution. It's a clear endorsement of the clubs' position."
The contentious ballot to end the season early in the Championship and Leagues One and Two was eventually pushed through with Dundee voting in favour on Wednesday after retracting their no vote last week.
As a result, Dundee United, Raith Rovers and Cove Rangers have been promoted as champions while Partick Thistle, bottom of the Championship by two points but with a game in hand, and Stranraer, League One's bottom side by eight points, have dropped down a division.
"The silent majority have carried the day and other people are noisier," Hamilton Academical chairman Gray told BBC Radio Scotland's Sportsound on Sunday.
"It's the clubs that voted 'no' that are the noisiest. And I'm looking at what their motives might be.
"If you've met Neil Doncaster, the idea that he bullied anyone is absolutely hysterical. I feel sorry for him and [SPFL lawyer] Rod [McKenzie] and [SPFL chair] Murdoch [MacLennan] for the way they've been treated.
"They've remained silent in the face of huge provocation. And I think we really need to take a look at these accusations being thrown around."
Gray believes it amounts to "good, proper governance" to investigate any concerns over conduct, adding: "The process is up for debate and parts of it could have been done better.
"But that's not what we're talking about here - we're talking about accusations levelled at people of impropriety. We have good people at the SPFL and they're being slaughtered all over the place because it probably could've been handled better."
Regarding any evidence of any wrongdoing, Gray commented: "At the moment we don't have any evidence. We've asked for it on several occasions.
"We've got high calibre, non-executive directors and we're happy that they can look at this process and see what we could've done better. There's no wrongdoing here, we're absolutely certain of that."
Gray described claims that Neil Doncaster bullied anyone as "hysterical"
Championship, League One and League Two teams are receiving their outstanding prize money after clubs backed the motion to halt the campaign. No prize payments can be released to the 12 Premiership clubs until a decision to call their campaign early has been made after Uefa's summit on 23 April.
The top flight could be decided on the same points per game basis if the SPFL board "determines the games cannot be played". Ten of the 12 teams have eight games outstanding, while two have nine fixtures still to play.
Gray and Hearts owner Ann Budge are co-chairing a task force on a reorganisation of the SPFL next term.
The 15-strong task force will take part in a Zoom meeting on Monday, Gray added, with the mute button to be used to avoid it becoming "a bunfight".