Just picture a gap developing due to a missed shift or new rider and a motorist, not seeing the tardy cyclist and not having been educated in the law enforcement-approved motor vehicle code violation enters the intersection and strikes the cyclist (or cyclists). I wouldn't want to be the ride organizer/leader who may be guilty of negligent behavior.
Almost all cyclists in my experience take some liberty with respect to stop signs except in those communities where ticketing cyclists for failing to come to a full stop has taken on religious zeal, but the three non-racing clubs to which I belong would never condone the behavior described; it gives cyclists a bad reputation and, yes, exposes the club and its insurer civil liability for the club.