That sure is a rare and beautiful work of art! I would be more inclined to ask a very trusted friend or relative to hold that table for me, rather than put it in a commercial storage unit, even climate controlled. You just never know what might go wrong when you use a commercial facility.
For instance; what if it changes owners or goes out of business, moves, has a fire, has a burglary, or someone botches your payment history and sells off your unit's contents for non-payment before you have a chance to prove you're paid-up? I would never trust such a precious item to a commercial storage place. Of course, you have to be absolutely certain that a friend or relative is totally trustworthy, too, and won't refuse to return your table. I hope you have this table appraised and insured, because it's absolutely priceless and irreplaceable. Good luck with your decision!