Actually, as I found in this answer here, and from Valorum's answer to this question. People surrounding this book and film can be pretty responsive to emails. So I emailed Andy Weir (I hope you don't mind me blacking out my name), but this was his reply:
So according to him, Mark uploads the logs and sends them, althogh I have no recollection of that happening, and (as an Electrical Engineer) question the amount of bandwidth it would've taken to transmit that. But ah well, there's a reason it's called Sci-Fi. Hope you found your answer!