Perhaps, considering that I don't recall having ever had Automatic Updates turned on, and yet my phone had downloaded 10.1.something and was nagging me about installing it. (Automatic Updates already wasn't turned on when I followed the steps to disable it.) Deleting the update from the storage UI is a piece I hadn't previously run across, and I've gone ahead and done it.

I'm now seeing the 10.2 update available, but it hasn't (yet) been downloaded; if a day goes by and it still isn't, then I'd have to say I owe you a beer, or several, for pointing me at a way to relieve what was getting to be a real pain in the neck. (Although why I failed to find this clue for myself is a curious question in its own right - it's certainly not for want of looking! In any case, I greatly appreciate you taking the time to point it out.)

It's not really a proper solution as it kills app updates. (In a nutshell, the article advises disabling automatic updates)

So yes, ridiculous..

Update: Looks like I owe you a beer, or your preferred alternative beverage! The email address in my profile is a good place to send details of how I may remit the requisite funds; or, if you're in the Baltimore area and want to pick a bar, a day, and a time, I'm good with that too. (Preferably not Fells, though; crowds of drunk twentysomethings and the occasional mugger aren't really my idea of a good time.)

Thanks again! That was really getting on my nerves.