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Additionally, even official mirrors such as de.dmoz.org may display a logo or link for the host donating the server space and bandwidth.
To translate and paraphrase the contents of the linked page, the domain dmoz.fr belongs to a private company with no affiliation to DMOZ. The official DMOZ line appears to be that they accuse dmoz.fr of misusing their name, their index, not respecting their usage guidelines andusing their "fake" DMOZ directory for increasing the pagerank of the private company's other sites.
So the answer to your question is that dmoz.fr is not DMOZ.
The official DMOZ line appears to be...
I'm not sure what the official ODP line is. The reality is this is just an ODP clone. The only issue would be the legality of this clone being at the dmoz.fr domain name. It may be that AOL doesn't like this, but they don't see it worth the legal costs of suing over it. (FWIW, the home page of dmoz.fr has a less than whopping PR6. There are many minor amateur sites out there with a PR6 or better.)