So mainly just the heavier things that jut out? I'm planning on pulling out the SSD's too and anything that I don't have well secured. I'll probably be good leaving the motherboard and PSU screwed in there though if I bundle it up?
Yeah, I'd expect those to be fine. It's mainly the heavy stuff that is also long/tall where dropping the case would cause it to exert a ton of force on the mount. The motherboard will be fine screwed into the board unless the case itself is somehow severely damaged.