I guess those big centres will be more useful when they get round to younger, healthier people who can travel to them.
Of course by sending out the letters to people who have no chance of going then the government can still say they have 'offered' vaccinations to XYZ million people.
Whether people could safely accept that offer or not gets glossed over.
(Your 3 have probably been counted as 3 separate 'offers').
The letter itself could also make it much clearer that this is for the large national centres only, and that you should ignore it if you want to wait for a local jab.
It does clearly tell you to ignore it if you have already booked or already had a vaccination, but the bit about if you can't get to a centre offered then wait for your GP to contact you is burried halfway down the second page.
The booking website itself makes no mention of waiting to be contacted by your GP, only to keep trying on the national booking website.
As you know I am no stranger to making sense of badly written letters (the DWP are masters at it) but I would have expected such an important letter to be clearer on that point. Which is why I checked the booking website.
The whole tone of the first page gives the impression that 'This the way that you do it', it's not until halfway down the second page that they note there is another option.
I worry about people reading it that way, and travelling miles for a vaccination when they don't need to and can wait a bit longer.