If fermentation is truly complete then all "secondary" is is extra time for yeast to clear up off flavors and floculate out. If you had good temperature control during fermentation then cleaning up off flavors isn't relevant. So all that's left is clearing, which cold crashing speeds up. The only negative to moving to cold crashing this fast is if you're not really done with fermentation. Did you check that with gravity readings or just watching the bubbles in the airlock?
I just kegged 10gal of an OctoberFast derivative last night that had been in primary for 4-1/2 weeks because I was in no rush (and had 900lb of new laminate flooring stacked in front of my fermenters). If it's not an IPA I tend to give my yeast plenty of time, even more if it's trying to emulate a lager.