A resolution put forward by Rangers, Hearts and Stranraer at Tuesday's egm - called for an independent inquiry to be instigated - failed to get the required 75 per cent backing.
A total of 27 clubs voted against, with 13 backing the resolution and abstentions from two clubs, one of them Clyde.
A statement on the club website conceded the Clyde board was unanimous that the resolution had merit and that it was difficult not to want to support some form of investigation or review.
However they said they decided to abstain due to a number of factors.
The statement continued: "Not voting was by no means rejecting the intent of scrutiny and accountability behind the resolution and, in equal measure, it was not a statement of support for the SPFL board in this matter.
"We would stress that no comment we make is directed towards any particular individual; this is a structural and cultural failure.
"We took our decision having regard to a number of factors, including the following:-
"Given the desperate situation that the country finds itself in, with significant societal and economic challenges, this really is not a priority.
"These were not new behaviours. In our opinion it was not an investigation that is required, rather it is a robust review of how governance of a structurally flawed model of self-interest and partisanship can better work for the benefit of all members.
"The league requires a new sponsor. A potentially destructive investigation will only undermine the brand association with the SPFL and Scottish Football as a whole and is to the detriment of every member.
"The exposure of behaviours has already been significant and damaging. As a member body, the most positive and proactive response is not to continue creating division, but to recognise that the failings exist and work together to resolve them.
"As a club, we have more than our fair share of serious challenges to navigate and not only do we need our focus on our own club, but we need the SPFL executive wholly focussed on supporting all of its members."
"We do not plan to comment further and we hope that everyone can concentrate on strengthening the organisation and its governance so that it can serve us all."