It's about the structuring of the trust. I trust that someone from the hospital will triage me when I get to the emergency room, but that kind of trust is very different than if there is an online service which does remote triaging when I am on my way to the hospital.
When the proponents of this service are claiming that you don't have to trust the hospital that they would get someone to triage you, instead you can have your own assigned triage Nurse, you're claiming "But you still have to trust that this third party agency will have someone on the remote location to triage you, then what's the point of using this service?"
When the proponents of this service are claiming that you don't have to trust the hospital that they would get someone to triage you, instead you can have your own assigned triage Nurse, you're claiming "But you still have to trust that this third party agency will have someone on the remote location to triage you, then what's the point of using this service?"