To narrow the issue down, if I understand it correctly, the chillul Shabbos-doctor problem is mostly limited to their training in residency for about three years. Correct? Once they get their medical license and become a full fledged doctor, frum doctors can generally control their schedule.
If they hang their own shingle out and open their own practice, they surely can set their own hours and days. If they’re a specialist in a hospital, specialists can choose not to work weekends. (Other non-Jewish specialist can be the Saturday specialist.) An Emergency Room doctor will probably have problems taking off on Shabbos. But is it correct that it’s mainly only an issue for residents?