I use Tamiya Acrylics almost exclusively so I can only speak for them.
It is safe to use a turpenoid/artist oil wash over acrylics. If I'm doing the wash over an aircraft model I will spray a gloss coat of Future (it's clear acrylic) to help the wash adhere to just the recesses and raised detail. On armor I sometimes skip the future which allows the wash to also leave oil pigments on the flat surfaces. All depends on the effect I'm trying to get.
If I remember reading correctly though, turpenoid/oil wash doesn't work well with enamels, so a lot of the guys will gloss coat with Future first before using that technique.