BANKSAE
I do know for a fact that people you search for on fb (Who you have no mutual friends with) will eventually all show up on your People You May Know list a month or two later if you clicked to see their profiles.
You're right. Last week I looked up an ex co-worker and a week later she came up in my People You May Know list. I looked at my search bar results and she appears and disappears from it. What I can't figure out is why someone I am not friends with but know each other, not personally though, just seen each other around, and share 1 mutual friend, is locked high at the top of my search bar results, and for a time kept reappearing in my People You May Know list.
Strangely, this person kept coming up if I logged in the morning but then would suddenly disappear, only to come back the next morning. It felt like this person would look at my profile a certain time of day that's why they came up and disappeared. I did look at the their profile twice so I'm not sure if looking at their profile caused anything to happen.