Why would DMOZ want to bother changing the link if the content is still at the old pages?. You need to take the old pages down or put a redirect in place -- otherwise DMOZ has no way of knowing that you are not some sort of scammer trying to preted you own the old site and get them to change the links (I am sure you are not - but without a redirect in place, DMOZ has no way of knowing).

The solution to this is in YOUR hands - don't blame DMOZ.

CBP