Forum Moderators: open
Why provide a web directory? Well, it depends on what you're building your site for. Perhaps you are an ISP and want to provide a customers' home page with pretensions of portalhood. More likely, you are a hobbyist or specialist in some niche subject or field, and you want to promote your hobby or specialty by offering a reasonably authoritative listing of similarly themed sites -- without the trouble of digging excavating them from search engine spam yourself. A great many ODP licensees only use the listings for some small branch, rather than the whole shebang.
And then of course, there are a few who will simply because it's free, and they can, the same reason why moreover.com headline feeds, weather.com icons, espn.com scoreboards, etc. appear on personal homepages everywhere.
(technically speaking, of course, we're talking about ODP data licensees-- currently the only two true mirrors are ch.dmoz.org and de.dmoz.org)
There are a core of sites that update several times, or more, per year, using the RDF file.
Lastly some sites actually dynamically read the ODP pages, live, reformat them and serve them as their own. These screen scrapers are always as up to date as the ODP is itself, but tie up resources on the ODP servers. These latter types are requested to screen scrape the mirror at [ch.dmoz.org...] instead.