Michael Stewart has accused the SFA of "incompetence" after asking Championship clubs if they wanted to halt the season.
Hampden chief Ian Maxwell wrote to all 10 second-tier clubs on Friday to gauge their views on following the lower leagues into a shutdown.
Maxwell insisted one Championship outfit had publicly declared their desire to stop playing, which appears to be Inverness based on previous comments from boss John Robertson earlier this week.
However, Caley Thistle chief Scot Gardiner has claimed that is not an official position of the club adding they do not want to stop playing or for the campaign declared null and void.
The latest move from the governing body comes days after League One and Two were put on hold along with the Scottish Cup.

It put ICT in the middle of the storm after previously facing allegations, which they denied, of attempting to have the 2019/20 campaign declared null and void.
Stewart believes that the move from Maxwell to reach out to clubs to half the Championship will only add to concerns that the Scottish Premiership could be scrapped despite Rangers holding a 20-point lead over Celtic.
He told BBC Sportsound : "For the best intentions, which is why I think the SFA have initiated this whole process, they've ended up in a position where incompetence has shone through and it's thrown a grenade into a delicate position.
"I can't believe nobody within the SFA had the awareness to understand the ramifications of putting that statement out.
"For all the right reasons, I think we can all see that, but it's incompetence on a grand scale.
"That's before even taking into consideration the conspiracy theorists that see this as a whole ruse to knock out the leagues one by one before you get to the top flight and then you try to null and void it.
"We can laugh about this but that is what a lot of people genuinely think and believe.
"I can't believe there wasn't people within the perceptions and the optics of this without throwing out that e-mail."