The problem is that there are two arguments. The logical one, and the emotional one.
Logically, diverting 2,000 doses or so our of the "hundreds of thousands a day" promised in the next fortnight to keep football going would be a brilliant investment.
It's an industry that generates huge amounts of money for the economy, keeps other industries afloat, keeps millions rooted to their sofas every weekend and not out spreading covid, and has a big mental health impact on the majority of the country that follows football .
However it will never happen because of the emotional argument. People already resent footballers because of the money they earn, now they're going to get the vaccine before mum and dad too? I wish I was paid £100k/week to stay in a bubble and kick a ball.
Look at the way football was treated over the financial help for coronavirus. There's no logic to it at all, why bail out multinational corporations, but demand football clubs bail out other football clubs? Supermarkets didn't get told to bailout the local greengrocers. Greene King weren't told to bail out your local indie pub, but football is football, it has money it doesn't deserve, so fuck them.
The fact it's a miniscule number of doses to safeguard something which brings in billions of tax and the money saved on testing - millions per week - could be diverted to keep culturally significant lower league clubs afloat doesn't matter. People don't like footballers, they don't want them to have the jab early.
Also imagine what morons like Mendy, Mitrovic, Lamela, Walker etc. etc. would get up to when they were vaccinated and bored? It would be a PR disaster for football when the inevitable happened.