[WJW]

Well yes but the squares are the same. The king starts on E1 by definition, even if the board is turned around so that the markings would indicate it starts on D8. It might be confusing to the person reading out the move to the blindfolded player, but the blindfolded player would not have to deal with anything out of the ordinary.

[monktastic1]

Yes, the person would have to both call out and take in corrected squares, or else put the onus on Kasparov (which is what I was somehow imagining they did...).