Be careful that the "better caching" you see isn't actually pre-fetching, where the app downloads several of the next few links in the background so that if you click one, it loads much faster. Problem is, that counts against your data even if you never do click those links.
I've done a number of demos of what a site can do to you with pre-fetching. I make a page that shows viewers a few pictures, but also has "hidden" links that you don't see to other images, videos, etc. There are several ways of including such links without the browser actually showing them, which I won't waste time with here. I also include at least one link that's visible as an ordinarily link pointing to a large file that takes a while to download. After talking a while about other parts of the page, I tell the person to click on that link -- and observe that the content shows instantly, although it's obvious large and should take a while to download. This gets across the concept of pre-loading, and why it's useful. But I can also explain that it means stuff you never looked at may have also been downloaded.
Then I tell them to take a look at the source (perhaps teaching them how to do that), and point out the hidden links. I invite them to imagine what the pre-loading could have "installed" in their browser's cached without their knowledge. For instance, they could now be on their local government's terrorist or drug dealer or religious heretic or kiddie-porn lists because of what was just pre-loaded, and the evidence is sitting in their cache. I invite them to discover just what those links actually pre-loaded. And no, I won't tell them how to do that, any more than an actual hostile web site will.
Sometimes I grin and tell them that if they haven't done anything wrong, they have nothing to hide, right? ;-)
Actually, the hidden links generally point to rather innocent stuff, like tourism photos or wikipedia pages or cute cat videos, but they don't know that unless they figure out how to see the hidden content. The most useful is probably a page that simply explains that I could have linked to anything on the Web, and I'll leave it to their imagination what could be in their cache as a result.