Honestly, I would lean the exact opposite way. Sure, it would really suck to have the job offer rescinded because you weren't eligible for a security clearance. But far, far worse I think would be to have the conditional clearance granted, make it to your first facility, move you and your family halfway across the country, and then get fired on the spot because they discovered you omitted information and they decided not to grant you a clearance after all. They're gonna find it no matter what, so if it's an issue, it'll be an issue regardless of whether you list it on the form or not.
From everything I read when I was filling mine out, it seemed like over-reporting was better than under-reporting. I saw several people mention the act of concealing information is often far more damning than the information itself. Just the act of attempting to conceal information, regardless of what it is, will count against you when it comes to decide whether you're eligible for a clearance. This isn't official advice, as I'm just another new-hire like everyone else, but I filled mine out with as much detail as I possibly could, and I sleep better at night knowing that 1/5/10 years down the road, I'm not going to be fired for omitting information on my SF-86 to try to save a few weeks on the front end.