The problem is not simply solved or even significantly so with a mere “don’t tell the pigs anything”
Nowhere is this being touted as a solution to the entire problem, this is advice on how to act in a specific situation, and again, a call on people to make that choice on where they stand, now, because now is the time, not once they're knocking on your door, then it's too late to start considering how to act (and if someone has already decided to, or hasn't but defaults to being a collaborator, they get lumped up with the fascists they enable).
That's how we get to where we are now.
Rights dictated to you by the state are categorically not universal nor natural, they exist in service of the state and the capitalists who own it, and they can and are withdrawing them as they please.
The entire point of the post is that people who have more privilege need to stand the fuck up for those who have less, not try and find ways out of doing so.
Edit to clarify: giving the cops the pleasure of kicking down your door and arresting, or even shooting you for "resisting" isn't making their job harder, only yours.