Trust the science...or else.
If the government get to discriminate which vaccines are good and which are not, why their citizens won't do the same, even if they leave the 'good' bucket empty?
When I travelled to South America I had to do "the" vaccine shot (yellow fever I believe), but nobody would inquire me "which one" and whether it is on some white list.
Remember when they discontinued the control groups? I thought Randomized controlled trials were the gold standard for science