Hey Justin,
I suppose you're right, not sure if you can technically "hide" a page from view. I'd advise looking at your Facebook insights a bit though. You may find like many pages, the majority of users do not consume content on your actual page, but rather through their news feed where they see your posts. While a user could theoretically go to your page, click the drop down, and find your paid advertising tab, I'd imagine in most circumstances it's relatively unlikely, especially if you position the organic tab more prominently.
If you're gunning for absolute precision in your tracking though, it certainly is a potential loophole.