The reason for the Coava disk is for those who find paper filters trap too much 'goodness'. If someone's happy with paper, there'd be no reason for one of these.
That said, after using a Kone for a few weeks now, I don't think clean-up for the AP disk would be an issue. Whatever coffee particles get lodged in the holes tend to rinse out fairly well. A lot of that would be grinder-dependent I suppose.