Do cursed investigators in the herald variant repeatedly fall unconscious?
Since an investigator gets to roll to see if they lose a Cursed or Blessed status on the upkeep after losing their stamina, they won't get stuck in an infinite loop.  If a person is worried about not being able to do anything because of their curse, they can use their Encounter at St. Mary's to simply heal one.  Their health will go from 1 to 2, then back to 1 next round.  At least with that, the person can make one move and go somewhere to do SOMETHING, rather then being bed-ridden.  There are ways around it, but I guess the solution really would be "don't get cursed".