Not sure that it matters, but I thought it was a triage nurse that did the initial check of lung sounds...
As I understood it, a triage nurse made an initial determination upon check-in, though nothing was stated with regard to any examination at that time. There may have been one, or the determination may have been made simply based upon the patient/OP describing the symptoms and status. I'm not a medical professional, but I've been in ERs more than a few times, and I've been prioritized based upon my description of the situation more often than not.
Also as I recall, it was a doctor who examined her lungs approximately 2.5 hours later, though the doctor was apparently not fully confident with his/her familiarity with dive related issues and wanted to seek a consult with one of the on-call doctors who do have that experience. To me, that seemed an opportunity to tell the doc to save time for both himself/herself and colleague by calling DAN who was allegedly at the ready to provide just such a consult. Not sure if that conversation occurred or not. I know I would have pressed that particular issue in the same situation.
For all who say that DAN did the right thing, please answer the following questions:
1. Does DAN have any responsibility per contract to contact ER or other medical professionals to assist in getting you coverage? (I believe you are saying no, though my read of the quotes presented here would have me say yes)
2. Does DAN have a reputation for doing the above, whether they are contractually obligated to or not? (I believe the answer is yes)
3. If a company has a reputation for regularly performing a service, whether they are obligated to or not, is it reasonable for a good customer to expect the same service when they need it? (I believe the answer, again, is yes)
Also, there seem to be a few people saying that DAN should have done more, if not everything the OP expected. I can appreciate that everyone thinks their own opinion is fact, but it's hard to accept that the answer here is as cut and dried as you would have it if there are people who believe otherwise. I think it is fair for someone interested in the actual answer to reserve a final judgment until asking the question of DAN directly. I would encourage the OP to make that call and see what answer DAN management provides.