This is the original 2003 spare and we did this in July 2013, spare was fine always in the shade
....it's not that the spare tire hasn't seen any sun in 10+ years, it is the ground-level ozone that is attacking that rubber 24/7/365 days a year AND that tires are meant to be driven on often, not stored (tires not driven for long periods will craze/crack and degrade, because the rubber compounding absolutely requires them to be used/rolled on/driven regularly).
IMO: change your spare when it hits 5~6 years of age (check that date stamp! a supposedly "new tire" you buy from a dealer, could have been sitting on their tire rack for 2, 3 or 4 years = nearly "stale rubber" = a hazard after only 3. 2 or 1 year of use: again, check and decode all your tire date stamps BEFORE buying them, and mark their dates in your maintenance records).