As you know it is legit to create more than one account in the SE universe, especially when they are used on a set of sites that don't overlap. I have this account, connected to email address A using Yahoo as my open id provider. I also have another account that I use only on one site, and it uses SE as the open id provider and email address B. These two accounts never interact in any way and I never publicly interact with that other account either (eg tweeting links) because on that site I want to be completely pseudonymous and not connectable back to me. (it's personal, not public.)
Now I want to make a third account. I don't want to make a new email address if I can help it, nor to use any of the many email addresses that have been set up for me by clients. If I use email address A or B, but use say Google as my open id provider, will this third account stay separate from the other two? I especially don't want to nuke my anonymity on the single site where I now use email address B.
I understand having lots of accounts is a bit of an edge case. However having one personal (hobbies, politics, religion) and one business (SO, Programmers, technical sites) account is becoming so common as to be mainstream. It's then a small jump to wanting a third account, completely unconnected to your real name, for posting about delicate personal or workplace matters. I think it's helpful to know how not to accidentally connect accounts you wanted to keep separate.