Because - to repeat myself again - they just paid out hundreds of thousands of pounds to bring him in, and Tim Williams knows that if he goes to the Board asking for several more hundreds of thousands to sack him just four months later (just twelve months after almost getting us relegated by sticking with KR for way, way too long), then he may as well start boxing things up in his office.
It's not a question of should we fire him, it's a matter of will we fire him - given the status and motivations of those who will be making the decision.
Regardless, the Lincoln postponement is great news not because I think we will necessarily have sorted everything out by then......but because there's a chance that Lincoln might have cooled off. Right now, there may not be a team playing (relative to their league) as well as them anywhere in English football.