Am not clear what the Archbishop means. Is he saying the clergy conduct the marriage service but not sign the document or is he suggesting not conducting the service in the first place?
The priest at my parish has, for several months, been considering not conducting any marriage service, even for members (He has the canonical authority now to refuse to conduct weddings). Instead, members would be married by a JP and then a “blessing of the civil ceremony” could be done at a later time.
They would still conduct the religious ceremony, just not sign the civil document.