if that is the case, it seems reasonable that it is indeed the majority. under your hypothesis the "majority that doesn't" isn't advising the government in the first place.

Worse, politicians (particularly Health ministers) have disporportionately high infection rates.

Not sure why Health ministers are getting shade for testing positive?

I'd rather my top health officials actually have contact with those under them, than sit in a glass bubble.

They don't follow basic advice (e.g. don't shake hands, touch your face, etc), they don't close down mass events, they don't close schools "because we're not at that stage yet". The time to close them is before we reach "that stage".

Number of cases is a trailing indicator, which also only covers those tested.