Sorry I'm really lazy so ignore this if you want, but what exacty is remote in this CC scheme?
1. The initial download of the software and ongoing downloads of updates, and you then install and run it locally
2. The software executables etc. as you are using them (hope that makes sense), or
3. Your actual files (your tiffs, psds, etc).
If it's the latter and there's no way to compeltely and utterly dsable that and have your files exist only on your local machine, literally, truly, then Adobe has completely lost its mind and heaped the biggest insult in company history on its users.
That's "if."