Another important thing to note is that there could be bias in that group. If you dedicate your life to medicine, you may be more likely to trust medicine without questioning it. Unless you've had an experience that was negative. Many physicians that have had negative personal experiences abide by the idea that new means unproven (which matches the reason that most unvaccinated doctors gave in the survey and the CDC lists - that the longterm risks are unknown).
Lastly, most doctors are to mechanics as medical researchers are engineers. Most doctors aren't looking up studies on PubMed or doing research. They mostly rely on what they've been taught in school and in continuing education. For the most part they are following established protocols. Hell, even the experts admit that there is a lot they don't know about the immune system. Take for example that researchers are seeing protection from the vaccine before antibodies are produced - which was unexpected.
So while most groups are susceptible to misinformation, that doesn't invalidate the position that one may avoid the vaccine due to the unkmown longterm affects. It's really a question of risk/benefit analysis in a sea of incomplete information.
At the end of the day, doctors and medical researchers are producing the highest quality opinions on the subject. If you're not following their lead, then you are very likely in the wrong.
Are they sometimes wrong? Absolutely. But the key point: to think that you are more likely to be correct is absurd.
96% of doctors have gotten the vaccine. Top medical researchers in the immunology recommend the vaccine. etc. etc. These people are less (but not completely) susceptible to misinformation because they are truly able to interpret research and findings.
We should be following doctors and immunology medical researchers. Not nurses.
(This isn't meant to be an inherent slight on nurses, by the way. I think it's just human nature.)