Love the idea. Curious if there's any maximal theoretical efficiency. It seems to me that if you had a wide pipe with a narrow pipe inside (each going different directions) that you could theoretically have a system that transfers heat with no loss.
But the adsorbent only starts adsorbing at about 60% RH. So in some cases that actually leads to efficiency loss, compared to some kind of ideal adsorbent that adsorbed at any differential.