So you never asked anyone. The problem is, if you ignore ethics, which of course says a lot about your priorities, still two fold.
First, you have development. That was arguably the fastest vaccine development in history. Not sure what could have been done faster here.
Second, you have production and distribution. Ramping up these two doesn't make much sense before you know whether or not the vaccines work. Now they are ramped up really fast. Going "fast and breaking" things may have resulted in more people being vaccinated early on. But this small benefit would have caused tremendous issues in a couple of weeks / months. The goal is to get millions vaccinated, not just a few elderly so that some people can go out partying again without feeling bad.