Anyone who genuinely thought they got the vaccine will likely want to be replaced the shot they weren't given. Boosters are a thing and according to actual science do work.

Anyone, especially any LEOs who faked it and is unwilling to get the shot again is likely a complicit piece of crap who committed fraud who should be fired and prosecuted. You can't 100% prove they didn't get it at the time of receiving the card, but if they aren't willing to get the vaccine again on record is pretty much guaranteed to have faked it in the first place and need to be purged out.