I agree the article wasn't great, but that line was clearly saying that the subjective experience of "feeling a dopamine rush" isn't at all evidence of a dopamine rush, since we have no idea what the individual neurotransmitters feel like in our brain (unless we've been somehow trained to recognize them, perhaps, through very controlled experiments with dopamine inhibitors).
Saying "oh I know dopamine must be important because I can feel it" is, indeed, absurd.
We can feel a rush. We can feel desire. We can feel satiation. And perhaps we have been told that these things relate to dopamine. So now we say we can feel dopamine. This doesn't add more evidence that it is dopamine.