This turned out to be a false alarm. The adventurer remained dying for a few turns then his condition started to improve gradually. This morning he was up to Lightly wounded.
Recovery is slow though (as it should be):
Returned to active duty (6 minutes ago)
You have returned to active duty. You are in Elroth.
It will take about 7 days for your wounds to fully heal. During this recovery time, you may not be as active as normal.