Since Minato could see everything while in Naruto he would have noticed Sasuke as soon as he saw him.
I´m sorry, but I´ll counter the thread.
I believe we shall assume, just as we do with shadow clone jutu, that chakra within a clone emulates the behavior and memories of the summoner.
One of the details about it is that the summoner absorbs the experience coming from the clone, however we are to think this knowledge comes back in a more intuitive way, as Naruto describes it as a "feeling", from the time he trained with yamato .
Most likely, this is the case for Minato, his memory isn´t instant, maybe he doesn´t know he knows hahahah

(anagnorisis)