The neck does have a tiny bit of play at the case's neck cut-out (maybe a half inch), but I don't think it's an issuse, especially with the case closed. The headstock just kinda floats in there freely. Plenty of room all around it, even with my hand under the headstock.
Not sure if this is the answer that your looking for but I will say this:
When these photos were taken the bass had been in the case all day. It had just been thru a car ride, and moved from the trunk to back seat, and held in an upright position while entering my apartment. Basically, it had been moved a lot, and these pics are how the bass was resting when I opened the case.
Hope this helps.