Would having your site listed on such a page harm it in some way?
Whose cache? Google's? MSN's? Yahoo's?
I'd say any directory (or other site) that offers free (and non-reciprocal) link to your site is a bit of a gift horse (that should not be looked too closely in the mouth). I'd simply go ahead and submit. As has been mentioned earlier in the thread, the worst that could happen is that you'd not get any benefit from the resulting link but, then again, you'd never know until you tried, would you? :-)