Linked Workflow item in Rich Text does not update its appearance when its State changes

In a Rich Text field if I link to a Workflow-enabled entity, and then I change the State of that entity, the appearance of the linked entity does not change.

For example, a Workflow entity that is in State “Done” will appear with its title in strikethrough. If I change its State from Done to Open, I can see the State change, but the strikethrough remains until I refresh the browser window.