I'm not 100% clear about that sentence, but rest assured, GC doesn't want their application calling up hundreds of web pages and scraping the data to present in their application, either. There's nothing about the 'scraping' that is desirable from their end. Whether GC is able to duplicate all of the features of C:GEO will in part be a function of whether their own API gives them direct access to enough information to do so without scraping pages. It's not the act of 'scraping' that costs the GC website anything - it's the act of calling up all of the pages to get the data to scrape in the first place.
The API provides a more direct and very abbreviated (and possibly not even human readable) version of the requisite data without the enormous overhead of producing a pretty HTML page for you to look at along with it.
And if Groundspeak were serious about promoting the growth of the game (and therefore their premium memberships) then they would make a single API that gives everyone the data they need but require authentication for premium members to get additional data. The reason that people have tools the parse the web pages is because Groundspeak have never provided an API. Not having an API was excusable initially, but to still not have it publicly available now is very telling about attitudes at Groundspeak since I doubt the reason is technical inability; the strain on the servers would actually go down if there was an API people could use. This is particularly a pity when all the content that makes geocaching popular and Groundspeak profitable is created by the userbase.
Groundspeak needs to take a serious look at itself here. Having been out of the game for a while its surprising to see the age profile of users seems to have gotten older. This game should be full of kids now that they all have GPS's on their phones; but effectively needing to pay $30 for membership plus $10 for an official app (thats is not as good as the free c:geo), plus not letting the geekier ones innovate with an API to program against is not a good thing for the game.
I had stopped geogaching for a couple of years and only got back into it thanks to getting an android and c:geo. c:geo is the reason that I decided to take out a premium membership again. I doubt I'm alone and providing an open way for users and members to access data should be part of the Groundspeak business plan and is the single simplest thing the company can do to expand and to expand the game. Sadly since attitudes in Groundspeak don't seem to have changed much from when I was last geocaching I don't think I'll be renewing that membership again unless things open up.