Royal glam's quality control is poor in my opinion and smelly.
I participated in their 1st wooden wrist rest drop and the wrist rest I received had excessive machining marks and some where I suspect their machining bit heated up and started snaring the material as it cut.
In addition, mine reeked of formaldehyde because of whatever they treated the wood with.
Yikes! So perhaps they did not sand it down enough after shaping it out. That won't help the finish either.

However, most finishes do have some smell to them, so if package it up soon after finishing it, that might amplify the smell. I don't use poly finishes or stains (which can be quite smelly), I use oils and waxes and even those have a smell to them once it is done. I have to let them air out for a bit before I put it in a box or enclosure. Still, they shouldn't have been sending them smelling like that. It is kinda off putting as a first impression.
Is there any concern of wood warping or shifting in a way that could damage the other components of the keyboard?
If you take it from one extreme climate to the next (Hot to cold, cold to hot) the wood can expand and contract. Typically if it expands due to heat, it will contract back to it's normal state. If this happens over and over again, it could cause cracking, but I'm talking extreme climate changes.There should be enough room in the case to allow for this so it doesn't cause problems. When I say enough room, I mean like a few mm of space, similar to how most cases are. Basically you just need to make sure you don't have to jam the board in there and you should be good.
Think of it this way, people have wood floors in their houses that last for hundreds of years (my floors are 110 year old maple). As long as you don't, say leave it in your car, under direct sunlight on a hot summer day, or let it freeze out in the snow you are probably going to be fine. That also assumes that they have some kind of metal spacer, riser, or whatever to screw the plate into. You don't want to be screwing directly into the wood, that would not stand the test of time.
Some woods hold up better to this than others, but for the most part if you treat it reasonably you shouldn't have any trouble. This also assumes that they have properly dried the wood and finished it, to protect it.