It does make some sense.
Eve was deceived by the serpent (i.e. Satan). The serpent was punished for deceiving Eve. If it had stopped there, Eve may have escaped punishment. That is not where it stopped. Even, knowing it was wrong, deceived Adam the way that the serpent had deceived her. That was the transgression because at that point Eve did know better while Adam was still innocent.
Adam got off lucky because there wasn't anyone left to deceive. As the saying goes, the second mouse gets the cheese.