I recently posted about the aviva directory and how long it took from sumbission to Google returning my actual aviva directory listing in search results. I also recently submitted a few websites to the botw.org directory. And amazingly it also took about 18 days.

So it looks like these directories are being crawled and indexed by some search engines. And you are looking at about 18 days for the submission, review, crawled, and indexed process. So for tracking purposes I would say check your stats on the day you submit, 7 days out, 18 days out, and 30 days out.

The next question is will these somewhat expensive listings make any difference in rankings?

I'll let you know if I see anything significant.