The question is asked in a bit of a chaotic way. Do I understand correctly?
Your university is pulling data from Google Scholar automatically onto your university page.
But you deleted your Google Scholar profile.
Yet the university website still lists your papers via google scholar?
That sounds like it's not being pulled from your google scholar profile that you had modified to only include your own publications but from google scholar directly.
I don't quite understand why your university is not using a better system. Surely, you cannot be the only one with similar issues?
Can you just have your own website where you curate your own pub-list?
To answer your last question, again a clarification question: so your google scholar account(s) were deleted but also not deleted? As in: when you google your name, there still is your google scholar page rather than just the pubs that are indexed on there?
Or do you just mean when you google your name in google scholar, your publications still pop up mixed with the other John Smiths?
It it's the former, that is odd and should not happen. If it's the latter, nothing can be done. That's just indexing and it will be there as long as the publication venue you went with is indexed by google scholar.