Suppose you have 2 equations. You don't know what these equations are. However, you know that for any input, the output is the same.
Any mathematician worth his salt will tell you that given said information, those 2 equations are equal or equivalent. It doesn't actually matter what those equations are.
Equation 1 could be say a+b and Equation 2 could be (a-5) + (b-5) + 10
Or more realistically, both equations could look vastly different.
The point I'm driving home here is that true distinction reveals itself in results.
The fallacy of the philosophical zombie is that there is this supposed important distinction between "true understanding" and "fake/mimicry/whatever understanding" and yet you can't actually test for it. You can't show this supposed huge difference. A distinction that can't be tested for is not a distinction.