You'll still login with the but you just won't have the Gmail email service active anymore after that. In essence this will make your Google Account become the same as one created in the prior step. You can also delete the Gmail address.(I use for which I have a catch-all email set up so that I can just invent emails on-the-fly and will get emails pushed to that should anyone ever email to those, but that's another thing). it doesn't give access to that email address in any way.
Note that You need to provide some non-Gmail email address to do this but it can be anything and it's only used as a username, ie. I have had similar cases at hand both in work and private use and would advice the following three options: Now, as Android itself doesn't differentiate between Google accounts the question in your use case boils down to: How can I create a Google Account that does not have Gmail (and various other Google services with possible private information on them) associated to the account in question? As pointed out by Hiemanshu you need to do this by using a separate account.