Hi @shime,
With my general knowledge of plagiarism detection (my institution has been a turnitin/vericite customer for almost 20 years now), I can pretty confidently say that I haven't seen any systems that work as you describe. In pretty much all systems I know of, the first time something appears in the the database (by web crawling, journal ingest, student submissions, etc), it's considered the original source. Subsequent submissions that match text are marked as similar to that original. You do bring up an interesting point about student submissions from the same course though... I could see where it may be handy in that scenario to mark all similar submissions. I think there would be some many technical challenges going that route though... One, the checking and reporting back to Canvas is generally done at the time of submission. Changing that would mean turnitin would have to store a lot more information about each submission for a much longer period of time so it could attempt to change similarity scores later. Then there would be a question about how narrowly or broadly to apply the new logic. Just for submissions from the same exact assignment in one course, for all submissions in a course, for submissions across different courses at the same institution, etc... In my mind, anything but the most narrow cases there would seem to open up even more issues.
All that being said, if the main issue is figuring out where some particular matched text on a submission came form, your Turnitin administrator should have some control over the info released to instructors. They can choose to release the text and submission details for entries in your institutional database of submissions, which would allow you to identify where the match came from (screenshot below, we have the most basic Turnitin version, so I believe every Turnitin customer should have these options or more).

Hope this helps a bit!
-Chris
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