When the study authors themselves say that the results should be taken with a grain of salt because they used a "novel sampling methodology", that's usually a sign that you want to take the results with a grain of salt.
Source please. I know a number of PHDs, and they were all early in line to get vaccines. I have not seen numbers for PHDs (only MDs), but I would be willing to wager that the vaccine rates for PHDs have been high the whole time. Certainly not without notable exceptions, but you get kooks in every group.
Talking about the ones specifically working for the pharmaceuticals. I don't particularly like the companies, but I trust that the smart people working for them want to solve problems.
Don't really care about the opinions of any random PhD (I know a few, most know their field and little else).