Wood box vs Plastic box for piece storage?

I have a set that has been at my house for over a year, and I am wondering if a wood box has any advantages for storage over just using a plastic tupperware container. I am looking to prevent cracks. The pieces are boxwood and ebonized boxwood. I know a wood box looks better, but does it help with humidity to prevent cracks longterm?

I believe most cracking problems (assuming quality woods and preparation initially) will be due to large temperature and humidity swings.  Temp swings can largely be avoided by keeping your pieces (and boards!) in temps where you yourself are comfortable.  "If you're not comfortable neither are your pieces."  Don't store in a freezer then play in an oven.  The temp "shocks" will eventually cause problems.

As far as humidity goes, using humidity-control packets in a sealed or semi-sealed container is probably the best you can do without significant investment.  Just like temperature, humidity "shocks" will eventually cause problems but possibly not as quickly if exposures are limited in time.

Just my thoughts.

Me personally I prefer plastic containers for storage over wooden boxes. I personally think that wooden boxes are a waste of money. I have had wooden sets stored in plastic containers like Sterilite.

Another container I like comes from the fishing tackle section. Plano Stowaways are ideal for storage in a folding case chessboard.

I find plastic containers are far more practical than wooden chess boxes. Much easier to travel with when you want to bring a wooden set to the club. I feel the only thing that wooden chess boxes are good for is presentation and display reasons. 

Given that I only play chess at home I just bought a lovely wenge/sycamore jewellery box from 'HandmadeWoodDesignGB' (based in the UK) on Etsy. Bit of a luxury, not really for travelling but looks beautiful

My problem is finding a box of the right size that doesn't cost an arm & leg to allow me to store my 3.75" pieces standing up rather than just piled in

For a few of the cigar boxes I've repurposed into chess storage, I found that I can stand up all of the pieces except the kings, which I gently lay down across and between the other pieces, along with any pawns that also need to be placed on their sides in between the standing pieces.

Seems fine to me, especially since the storage boxes only travel about 10 feet from their resting place to the chess table.