I read that turn around time is now 5 weeks for the old fashioned application submittal. Some had reported 2 weeks turn around time for this new online DXCC, but they have been working very hard on the CQ Awards in LOTW - so who knows.
I guess if they beat 5 weeks turn around, then its faster

Being a computer programmer and systems designer, I am more interested in how they are streamlining their systems, and I think about how they can get closer to "near automation".
They did a great job with LOTW - once you get past Fort Knox. I expect they will get DXCC Online to the point where the checker logs in and approves the app. Doesn't seem like a stretch at all. The three local card checkers that I have met in the Bay Area are super guys and very professional. I appreciate their service very much. They are very trustworthy.
But in IT - land, everything takes time. I do appreciate that the ARRL takes security and these procedures seriously - so no one can "game the system".