It's a crap shoot. I had a makers cue from Cali come to me for a new shaft, but when it arrived it was too crooked to safely spin in the lathe. I informed the owner and the maker, and agreed to send it to the maker for him to do whatever he & the owner agreed to. When the cue got back to the maker, it was as straight as the day it was completed. I have had other cues move with the seasons. Heck I have wood that moves with the seasons, and I know it was dried and handled properly. Other wood from the same batch, even the same tree, will stay straight. It's wood. There are no certainties.
I got a cue back for refinish this past week. It's been through several owners since '08, been around the world. It came to me from Singapore, one the most humid places on Earth. I made the cue in the New Mexico desert, and my shop is now in Tennessee. To my surprise the cue is near perfect straight. Both shafts and the butt are straight. The joint facing is a little off from extreme climatic changes and the cue is beat up pretty bad, but the wood is straight. I'd expect to see movement in a cue of this condition and history, but it's fine. Point is, in my experience there is no answer for your question. It's all case by case basis. Good luck