The majority of your beneficial bacteria resides in filter media.
Just because this is repeated, often does not make it so.
No way can a statement like that be backed up by anything.
Most would be surprised at the amount of bacteria that is not in any filter media.
If you said, in my tank, before the statement, I wouldn`t have any problem with that at all.
OP,
Milky, cloudy tanks are a bacterial bloom.
In your case it was pulling the filter.
Whatever amount of bacteria that was in the old filter, when it was removed you got an explosion of new bacteria because there was more food than critters to eat it.
The tank should settle down as the bacterial colony readjusts.