I agree that a combination of a panel and AI would make me feel better about a diagnoses.
Assuming it was more reliable, of course.
There are around 500 000 biology and medical research papers published per year (http://www.stm-assoc.org/2012_12_11_STM_Report_2012.pdf), and it's completely impossible for a doctor to keep up with all of the latest knowledge. A search engine can help a lot in discovering otherwise unnoticed connections.
I'm not sure how insurance companies are going to approach this - but "the computer agrees with my decision" seems to be a good defense argument in a malpractice case. And if the end result is statistically better, then insurance companies will adjust their prices.
So, expert systems are already here and helping make decisions...
With that history you should have been seen urgently. There are a number of serious things that are possible with those symptoms.
Plus, the nurse was relying on your accurate reporting of symptoms. Things are often very different face to face than over a telephone. People very often under/overplay their symptoms.
Also, presumably, if I was having any shortness of breath, it could be determined just by talking to me. They may have also taken my age into account (32) and decided that 32 year olds don't have heart attacks in the way I was describing.
I came in for a checkup a week later, and all was well (except for a RSI issue that was contributing to the completely numb left arm)