FEATURE: Don't show the draft checkmark when drafts are saved (PR #13292)

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Are we 100% sure this won’t leak to other tests? Otherwise this will introduce a lot of heisentests.

      "the draft was saved, there's no warning"

Hmm, I’m pretty sure this won’t leak but not 100% sure. I built it several times here, and I don’t see problems by now. I’ll be monitoring the build for some time after merging.