Since the park is built over an old orange grove there is a good chance their termites are subterrainian. You don't tent in that case. You drill into the ground and inject the poison beneath the surface of the soil. If they treat this way, they could do the work while the park is closed and we would never know there's a problem.
(This is based on my own experience with termites in Anaheim.)
I don't think they inspect as often as they could. Next time you are in the Pirates queue look up at the wood "beams" just as you enter the loading area, especially the right hand side. Many are "pin holed," a sign of infestation. (And yes, sometimes this is done to give the effect of age on new pieces causing them appeared weathered or antique. Based on previous experience, this doesn't appear to have the same characteristics as man-made effects. It is costly to fix, but more costly to ignore when it happens to your personal effects.)
CaptainEO,ATIS: Have you ever heard that rumor that Elvis is alive, and well, and owns a bakery in Seattle? Yeah, that's total crap. Now if you where to tell me Michael Jackson was alive, and well, and owns a MiceChat account in Las Vegas, that I would believe!
I've seen plenty of pests! Thing is, they're mostly backstage! The roaches are HUGE! I've seen some Dragonflies. There definitely bees, they had to close down screamin a few months ago because of it. And there is a rodet problem, of course. But this is just DCA, I've heard Horror stories from the Land!