Okay, did some research on Stigma or No Stigma when it comes to the psychiatry specialty.
Best journal article I could find was "WPA guidance on how to combat stigmatization of psychiatry and psychiatrists" (2010) in
World Psychiatry. They reviewed ~500 studies to draw their findings from.
"
Among medical students, results are mixed, sometimes contradictory.
While the overall status of psychiatry as a discipline is low,
some studies also report positive changes in attitudes, either over the course of time or after completion of psychiatric training during medical school, although improvement in attitudes seems to be transient.
In other studies, no improvement in attitudes was noted. Despite positive attitudes, the proportion of medical students indicating they would choose psychiatry as a career is often low.
[...]
Perceived low prestige and low respect among other medical disciplines have been among the main reasons mentioned for not choosing psychiatry as a career.
In a recent survey of US medical students on medical specialties perceived as the object of bashing, psychiatry ranked third (39%) after family medicine and general internal medicine."
[...]
Stereotypes such as specializing in psychiatry being “wasted time” are widespread among the families of medical students
, although students do not necessarily feel discouraged by their family. Nevertheless, this attitude reflects an image of psychiatry as not being “real medicine”.
I tried to then find articles on GP's attitudes toward stigma, but there are very few, and even fewer based in the US. But practically none of them found any noteworthy stigma.