Got dilemma meh? Ask yourself why you wanted the dry cabinet in the first place??? If it is for show then show it. If it is to put your gear in it to slow down fungus growth then put them in.
There's nothing wrong in putting your batteries in the dry cabinet. The very most you shorten the lifespan by 20%. That is nothing compared with putting it outside and you get fungus growth and infecting the precious camera which cost 30x more.