Stump the Ump: what happens when a marker moves a measured bowl?

Bowls Canada Boulingrin has posed a new Stump the Ump question about the responsibilities of a marker in a singles game.
In the scenario, both players have asked the marker to measure the shots. After measuring, the marker removes a bowl from the head and awards the shot to player A. Player B objects and calls the umpire.
The governing body invites readers to consider the umpire’s decision and contribute to the discussion on its official post. This is the question stage of the exercise; the published answer has not yet been supplied with this import.
Read the full official scenario in English and French and join the discussion.