You're drawing a false conclusion.
Dirty/clean doesn't mean black/white hat.
You can easily be dirty in your past, but clean today…
Yes, but Q never said they were either both white or black hats. Q said they were either both dirty or clean.
In other words, they could both be dirty, but one blackhat, one whitehat.
Hence the false conclusion.
Do not interpret what Q says as anything other than what Q actually says…