Right on, ERSiclair. I'm not sure though about the idea that Apple's disinterest in fixing our problem is because they benefit financially for every web page hit. Some large percentage of people having this problem, and of people on this thread, are iPad rather than iPhone users, running off our WiFi connection rather than a cellular signal. And many, or most of the apps I have problems with are not internet apps at all but apps whose data is right on the iPad itself.
One thing about us iPad users having this problem, at least those of us with the WiFi-only iPad, is that we're NOT locked into any phone plan. So if there really is a bettter tablet out there without this problem, we COULD switch.
Another difference for us is that in the tablet world Apple is NOT at war with Android and Samsung, or at least not a very active war, beaue Apple pretty much won that war in the tablet world years ago. I haven't been following the Android tablet market so I wouldn't even know what Android tablets to consider if I get so fed up with this problem that I would seriously consider switching. Google Nexus 10? Asus Transformer Infinity?
Anyway, my comments here come from the fact that we iPad users have piggybacked on to this iPhone forum since we're all suffering from the same iOS 7 probl and the solution will come from us joining forces.
I agree with a previous poster that the best way to get this problem fixed is if every one of us starts a help ticket with Apple. My iPad is out of warranty so I couldn't get free support but I followed Helveticum's suggestion and went to
https://expresslane.apple.com/LocaleChange.action and Apple called me back very quickly and opened up a free help ticket. (Now if I they actually follow up ...)