It makes sense to add "stop" orders and indeed to call diverted trains during engineering works at various stations.
It does happen - as an example, during the recent closure of the St Denys to Fareham line, the SWR» Romsey 6 was pulled between Southampton and Romsey via Eastleigh, with the diverted long distance Cardiff to Portsmouth train making the calls at Chandlers Ford which would otherwise have been unserved.
From what I’ve seen over the years that’s been the routine used since Chandlers Ford first reopened. It was a standard diversion for the Portsmouth - Cardiff trains already, I don’t think the line itself had ever closed to passenger traffic.
Paul