even though the neutral tag in your account is not a barrier for you to register for a signature campaign. but indeed a neutral or negative tag owned by an account could be a consideration for the campaign manager to accept or reject participants.
at least the campaign manager can check the applicant's post history, even though it has a neutral tag, but if you look at the post history it already has an increase. I guess neutral tags won't mean anything.
Likewise with the tagger, can't it be removed when the person who gets the tag changes their habits and also improves the quality of the post? although I'm sure it will also take some time to review.