Presumably just like all your corporate Slack or Teams chat history, or your emails, the things you did on company time remain the property of the company you're employed by.
Not always the case. At the European company I work there are many rules and regs on who can legally access employees email, depending on the country of the employee. Luxembourg and the Netherlands can be really tricky for example and they are not the only ones.
It's not automatically solely owned by the company.
presumably, but I was consulting recently at a company that had a Workspace and I felt that
1. Google seems to want to put me into that workspace whenever I go to chrome and login despite not being at the company anymore.
2. I saw some search results in normal gmail / google search and vice versa that made me suspect there could be data shared between the workspace searches and my non workspace searches. Which would make some sense because I, like many people, don't zealously make sure work searches are never done when logged in to my private account. Example of search results improved - searched privately chose stackoverflow down page, searched workspace some days later, stackoverflow answer first result (not scientific, maybe I improved my search second time to get the stackoverflow result I was looking for) I noticed it and thought, huh, probably they merge this stuff.
So what I mean is does this happen:
Search private - switch workplace account - private searches enrich relevance of results in workplace account search - search workplace - switch to private - workplace searches enrich relevance of results in private account - quit job, start new job without company account all searches in private, quit job - start job with company account - private search history enrich relevance of results in workplace account search.
So sure, presumably not, but I'm not sure that we should presume without also confirming.