We had a powder post beetle problem come in, but wasn't from any green wood, it came from a fresh set of pine & plywood shelves (construction lumber) that hadn't been finished... 6 months later we started seeing the tell-tale piles of wood dust below the little holes which then spread to some other "store bought" (Read: Particleboard) furniture (all of which by the way I had no hand in crafting) Took a bit of time & effort (and a few paperback books we had to throw out too as beetles ate into those too) but I think we have them all gone.
Moral of the story - Beetle infestations can come from just about anywhere, so can't always blame it on green wood. much of my own wood stash (including some rough lumber) that is stored outside also has had trouble with wood bees, but I usually cut that away before bring it into the shop (the rest goes in firewood pile) , though plenty enough of logs I've turned ended up splattering bug guts all over my face shield from time to time... So, I don't think it is a huge concern to worry over, just need to be aware of the potential for unwanted critters getting into your wood, and figure out how you plan to deal with them if and when you find them. Nothing is sure-fire, and indeed infestations can come from sources you had not even considered (Such as a box full of paperback books you bought at a yard sale!)
Generally, though, try and keep your outside wood stash elevated off the ground, covered and shaded, would go a long way to help cut down or eliminate attracting those pests into your wood pile. I dunno about Termites, isn't 'Joisey a bit too far north for Termites? (AFAIK, where I live in North Central P.A., we don't get termites here..)