I was curious about this and browsed through their operating regulations. It says something to the effect of "Visa considers a signature box that only says See ID to be blank".
So the pedantic response to your second sentence is that they consider the See ID irrelevant (and once there is a signature, it is apparently a violation of the merchant agreement to ask for ID, but I didn't look for that in the operating regulations).
So the pedantic response to your second sentence is that they consider the See ID irrelevant (and once there is a signature, it is apparently a violation of the merchant agreement to ask for ID, but I didn't look for that in the operating regulations).