A stamp that made sense when the file was a draft is only in the way once it is not.
Take a watermark off →Free every day without an account on some tools. Your file is deleted the moment the job finishes.
The mark that repeats in the same place on every page is what gets removed — that repetition is how it is told apart from the content, which does not repeat. The text underneath stays text, so it can still be searched, copied and read aloud. A stamp printed into a scanned picture cannot be lifted this way, and the page will say so rather than quietly return the file unchanged. Only remove a mark from a document that is yours to change.
The kind that repeats in the same place on every page. That repetition is how it is told apart from the content.
Yes. It stays text, searchable and copyable.
That cannot be lifted, and the page will tell you so rather than hand back an unchanged file.