I submitted my application (DA track) on January 10 too, a little before midnight. I received an email the next morning with a link to respond to the interview prompt. I'm not sure why processing times are different, but as woolscarves said, it sounds unlikely that it has any effect on your chances of admission.
I suspect that my application was processed relatively quickly because most of my materials (GRE scores, transcripts, letters of recommendation) were uploaded or submitted a long time ago.