I am a medical researcher, and my focus happens to be public health.
Is my research funded by the companies who have the most to lose by selling unsafe or ineffective products, and who spend billions to establish the safety and efficacy of their products to satisfy FDA standards? I do not see why that would somehow be a disqualifier--but no.
I work for the government, at a research institution.
Of course, to conspiracy theorists, that is just as bad as working for a company. I do not think that there is any kind of employer of researchers that conspiracy theorists would find non-suspicious.
Many vaccines and other medical products are developed by university researchers or entrepreneurs, who do the initial work and then try to convince a pharmaceutical company that their product is worth an investment of hundreds of millions of dollars to take it through FDA approval and to market. This is a high-stake game, and few products meet the quality level required to spark pharmaceutical company interest.
There is a reason I tell people to go to PubMed and look up the medical research reports for themselves. That is because, unlike anti-vax lunatics like Barbara Loe Fisher, I am not picking and choosing what to tell people in order to shape their opinion. I firmly believe that people have a right to ALL of the information, so I don't cherry-pick which reports anyone should read. Reports published by people using valid scientific method are fairly consistent in their conclusions, no matter who wrote them or did the research.