I think this is a huge disincentive- why would you volunteer for testing knowing you would be shipped off to hospital and your family locked in a quarantine facility for at least two weeks? Home isolation- if I was a risk- I would be happy with.
Why would anyone volunteer under this punitive system- is there anywhere else in the world with as punitive an outcome?
I predict a mass avoidance. They will then introduce compulsory testing for civil servants (and possibly schools) to save face.