People are stuck on stupid and think that there is some grand conspiracy where pharmaceutical companies took shortcuts so that they could ruin their reputations and kill all their customers.
I can see people being a bit concerned, as at the end of the day, companies care more about the shareholders, and at the start it was basically a battle to be first. Now I think it matters a bit less because it's not like only one company has a vaccine in use, they have multiple so they at least all get a piece of the pie. But if one company had decided to patent it or something then it would be problematic as it shuts out all the other companies. It seems everyone is playing ball in this respect though.
I'd like to think that these companies DO care about their reputation enough that they really made sure it's 99.999% safe before releasing it and pretty sure they did. All eyes are on them to make sure the vaccine is safe, and actually works so screwing it up and it being linked to negligence would probably be practically the end if the company.
Overall I'm not really that worried myself. Originally I wanted to wait as long as I can juuuuust in case they later on discover that there's some kind of long term effect that takes long to surface, but at this point I feel that risk is near zero. Once it becomes available for my age group, I'll be going for it. I have an aunt with terminal cancer that I'd like to visit, and also have a friend who has a dad with medical issues, that I'd like to hang out with, but I only want to do it once I'm vaccinated. I'll also feel better about visiting my parents. My dad is somewhat high risk as well.