As far as I know, that is not true. Nearly everyone has had one shot, but, not two.
The people that have had two will mostly have been vaccinated with Sinovac which has proved ineffective against the Delta variant, which is the one that is causing infections now.
The only other vaccine that was available is the AZ which has 12 weeks between shots.
Not counting infections isn't very smart. Asymptomatic people can pass on the virus just as visibly as sick people can. I would go as far as saying asymptomatic people spread the virus even more than sick people. If you're sick, people know to keep their distance.
So......what would only counting sick people achieve? As far as I can see, it only decreases the number which is misleading.
More testing is needed to catch the asymptomatic people.
PS. I live in Phuket.