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If the deletion was a result of the finding in the dispute, then the furnisher is required under the FCRA to also make the same correction or deletion with all other CRAs to which they have also reported the disputed information. The intent is to avoid multiple disputes on the same issue.
See FCRA 623(b)(1)(D).
However, that relies upon the furnisher complying with their statutory requirement. They not be aware of the requirement, or take the time to do so.
You can call and remind them of their responsibility before filing additional disputes, and thus hopefully avoid unecessary disputes flags.