That is a good argument, though you may not agree with my reason for saying so. Clearly, the system as a whole can discriminate a wide range of colors, despite the fact that no single component, including the person who is executing the process, can do so. This is the essence of the system reply, and I think this thought experiment illustrates it well.

There is a sense in which the system has an experience (necessarily first-'person'), but it is nothing like what we experience on seeing color. It is no more or less an experience than an ordinary color meter would have, and it lacks any awareness or concept of having an experience, no memory of it, no recognition of a similarity to previous experiences or of it being unlike any previous experience, no ability to imagine such experiences, no expectation of future experiences, and no emotional reaction to it ('my favorite color!') It is an experience only in the weakest sense possible.