I'm pretty sure that the United States government has not been forcing anyone to house soldiers.
https://constitutioncenter.org/interactive-constitution/amen...
They've all been pwnt in one way or another.
(Having said that, it's arguable that the police were not asking to be "quartered", and in any case, the 3rd concerns soldiers, not police.)
The court dismissing the idea that there is a 3rd Amendment issue could exactly be what the parent was talking about, if he does indeed believe it was a 3rd Amendment issue.
It would be tautological to consider the Supreme Court's decision to be the final word on the truth of the matter - doing so would imply that it's impossible for the government to systematically violate any rights/laws.