I completely agree that scores are a reductive way to view anything, that's why my system doesn't measure inherent 'goodness', it's more of a measure of my ability to find critiques. instead of measuring enjoyment, which is basically like trying to prove a negative, it counts in reverse of how flawed I felt it was, that way it caps out at me not being able to find any flaws but means there's much less ambiguity.
also, the three factors mean it's never looking at the piece as a whole, just pointing out its strengths.
I agree that even that isn't perfect but I think it can be used to compare two works to see if they are strong in the areas you enjoy.