I will explore what happens with algorithms when I search as I usually do, on the Google open web (influenced by location etc data, but not me specifically).
I will then carry out the same search logged in on my personal Google account. I rarely use this account, but I do occasionally fail to log out for a few days after I’ve logged in. I would therefore expect a longitudinal series of random snapshots of my search behaviour.
Finally I will carry out the same search using my work account. I am usually logged into this account at work, and most of my search and activity should be stored there. As it is a work account, I expect all my activity to be passively logged by my employer anyway. I also expect to be doing the same searches over and over again to carry out routine professional tasks, and so a preference ‘bubble’ or ‘me loop’ is actually useful.
I have predictive search turned off on my laptop, but on on my mobile. I may get different answers depending on the research.