Well, apparently no. At least that’s what Matt Cutts from Google says in this video here. All that matters is high quality links back to your website. However, it doesn’t hurt to have a link back link to your website from DMOZ. Google appreciates back links from DMOZ as well. Another important thing why Google likes DMOZ is when a page is really popular and if it is blocked by robots.txt. In such cases Google relies on DMOZ snippets to capture the information about that web page.

As long as you manage to get back links to your website from any reputable websites you are good for Google.