I am with you. Everyone attacks the OP for "not backing up" when the real issue is: "Why did Apple change it so now you have to respond from the phone?" Seems to me, there should be a work around in case you CAN'T respond from the phone. Why not offer a feature to log into your iCloud account to verify and trust the connection? Every time I sign into a different iOS device, I get a bazillion emails telling me I did, so why not make it work two ways? As another poster suggested, it wouldn't be that difficult an update for Apple. I agree, especially since they updated the software to require the trust feature in the first place.
Sure, iCloud backups are "easy" and someone asked how could Apple make it any easier? I'll tell you how, by not forcing you to back up an entire 64GB or 128GB iPhone to only 5GB of free iCloud storage. But you're always free to "buy" more storage, just as you're always free to pay Apple to repair your phone's screen (hmmm..). And as for manual backups, as someone else stated, it's a pain to manually sync to iTunes every single day.
Shameless Apple apologists disgust me with their useless apples to oranges comparisons. Sure, if he soaked or lost his phone, he'd be out of luck, but that's clearly not the case here. So why bring it up? If my aunt... Well, you know the rest. Stick to the actual circumstances, not hypotheticals. The phone could still easily export backup data if not for this ridiculous additional layer of "security" that Apple added that does more harm than good. In the past, if your iPhone was locked and connected to a computer, you could enter the unlock code on the PC to sync. So how does simply adding a worthless extra "trust" step from the phone improve security?
Apple makes so much money because too many people are lining up to prove P.T. Barnum's famous quote to be all too true... I personally believe in holding companies accountable for bad decisions, like this one.