I honestly think that is a long stretch of a claim.
I have no reason to doubt the Govt's figures.
I've been to the Dr's 4 times in the past 3 months for a number of reasons. A large family medical practice. They have 2 sections set up. One for Covid and one for general practice.
The covid section has always be chockas.
I know only one person personally that has refused to be vaxed. I mix with dozens and dozens of people on building sites and they wouldn't be there if they weren't vaxed.
Your doubt about the Vax rates published is unfounded in my opinion, and only stated to cover your own anti-vax views.
Nearly everyone I know is vaxxxed. Just the odd person isn't. 90% seems legit imo.