In the early 2000's, Dan Savage launched a campaign to “Google Bomb” Rick Santorum so that any searches for his name returned a slightly... different... result. I think something like that is appropriate now. Here’s the back story:

This advice isn’t accurate. The only difference, usually, between creating an account or not is that you create a password (and possibly a username) when registering. The company still stores your name, billing address, shipping address, email, and phone number, regardless of whether or not you have an account.