I can confirm, this has happened to two Ladas I repaired. One I was able to drive and then it became stuck on the base I driven it to. The next one, became stuck at its own spawn point even after full repair with all pristine parts. Both of them became unstuck by the next day, though without knowing what triggers the event, it remains a clear risk.

I can confirm containers are inaccessible with the default ui. The current system makes trying to hide any kind of stash next to impossible, as vegetation cannot be taken advantage of.