“Besides, an argument can easily be made that the patient would be uncomfortable with the same gender provider who is their acquaintance, not their husbands shull buddy, being involved in ANY of their emergencies.”
Ok, so those people can cal hatzalah. Nobody is arguing that hatzalah should be disbanded.
It boils down to the following simple question:
should Women have the option of calling a women only group in some situations?
Period. yes or no?
Most other points are distracting from the above simple question
Are there cases that most (all?) women woudlnt care? sure
If there are no woman available would most (all?) women settle for a male even one who eats cholent with their husbands? sure
Should we keep the much more advanced and established well networked hatzalah for most (all?) life threatening emergencies? Again, of course
but none of these facts change the simple fact that their are some situations that some women feel more comfortable having a female attend to them.