Whether or not the sites were put in the right categories (and most submittals, the vast majority, AREN'T) won't affect whether the sites are listed. At most, it'll affect how long it takes them -- the first editor will move them to a better category; when they get to the right category, then they'll be reviewed for a listing.
Of course, you have to consider what kind of websites you're designing. A small design company that does websites for local small businesses and organizations and might submit lots of sites. There's a good chance SOME of them will be listed quickly, but you never know -- there's no predicting.
The problem with web design companies is that (like lawyers) when they don't have legitimate business they have ways of stirring up business, and all of society is hurt. With web design companies, the temptation is to break their own basic "here's who we are and here's what we do for money" into fifty-seven flavors of "and here's another thing we do for money" sites -- fraternal mirror spam, pure and simple. Or alternatively "no, we won't tell you who we are, and we won't tell you who THEY are, but SOMEONE SOMEWHERE is willing to do THIS for money, and if you give us your money we'll go looking for someone to do it for you." -- doorway/affiliate/dropship/lead-generation/ad-banner spam pure and simple.
Either of the latter approaches will give a company a reputation as, um, "unhelpful" -- and then, if they ever WANT to make a useful suggestion, we won't care to hear it because we've already figured out we're better off without their help.