Do you think the growth rate of your site, or the lack of thereof makes a significant effect on rankings?

Suppose you have a site with 2K unique articles and you can either add a few articles per day, or put it all up at once.

I know it's reasonable to assume that gradual growth would be preferred, but the question is how much difference does this actually make?

Suppose in both cases you do the same amount of seo work to add links etc.