In some ways, it feels like cosmic balance that DT gets priority. Hear me out:

In the DT you are placing yourself at the mercy of every order before you. A delay to the front order at the DT in a peak time delays every car that's entered the queue. Maybe as many as 8 orders. So a delay of one minute there wastes 8 human minutes of life.

At the counter, on the other hand, it's not serial of course, so a delay to your individual order affects only you. So, even by old-fashioned good business sense (rather than modern MBA KPI-optimizing logic), it's reasonable to waste 2 minutes of your time, instead of one minute each of a whole queue at the DT.

(Yes, you can park the delayed car at the DT, but trust me, that's not a sustainable solution to do routinely. In general, getting "behind" during a lunch rush is an extremely tough and frustrating ordeal for the whole crew, no matter what)

When I worked at McDonald's we had impossible target times and the only way to meet them was to hit the serve button right away and go off memory.

They still seem to be gaming the system these days. I constantly see them clearing the order out and printing the ticket to stick it somewhere temporary so their time metrics look low, but now I get a notification in the app my order is ready when it actually is not.