Not sure which is harder. If you play a game, there are long pauses between each move where you can review the position and make it stick in your mind. After that the position only changes one move at a time, so it's not terribly hard (in theory ;) . If a voice makes you play though a game you may not have time to make the new position completely clear to yourself.
I can barely play a whole game without messing up the position (unless my opponent is a complete beginner). So I also find it really amazing that apparently some players rated lower than me find it easier.
An expert at my club impressed me by playing two games at once blindfold (I was one of his opponents, and I was so sure he would forget the position I played passively and drew)... he even went into the endgame where both games were moving pawns on the same side of the board... I don't know how he kept track of it...
I find that so strange though. When I do those training exercises that ask you to replay a whole game in your head (some voice tells you the moves), I would be ok for the first few moves, but would eventually struggle. I was not as strong as I am today -- I was probably under 1800 OTB -- but I'm not sure if a lot would change.
But you're saying that even if one not only had to simply play the moves out, but to actually be thinking about plans and strategies based on all this during a game, they might still be able to do it even as a low class player? I have never tried blindfold chess games, but I am assuming that it would be more difficult than the exercises I described above; am I mistaken? As a weak player one of my fundamental problems was specifically that I would freak out when trying to evaluate a position that is not on the board, but is a variation being played out in my head, resulting in a new imagined board position. That very thing only seems to become easier as a result of experience; maybe it depends on the kind of brain you are born with :)
I understand that on the other side of the coin a strong player needs to know what to calculate -- absolutely -- but they are still very good and accurate with what they do in fact calculate. I admit, it is hard to believe that a 1500 player could play a game of blindfold chess, at least without forgetting his position or making some really silly moves.