I would be one of the people standing in line for 5 minutes, because it would be terribly rude to just cut into the customer that is currently being served to announce I was there for takeout. If there is a second person at the counter or one close, than I could understand, but if all the cashiers are busy serving people and no one else is close, I would be uncomfortable announcing myself.

Yeah, that sign only works when you have enough cashiers.

One time at a place similar to that the one cashier was taking orders, AND calling out the finished orders as they came from the back.

So i got in line with about 10 other people all of whom were placing orders.

So when I got to the front and showed him my phone receipt he said "You could have cut around the side."
um.. no.
that would have required i cut around an entire line AND attempt to interrupt you/catch your attention while you are taking orders from all of the people who did not place phone orders.

I can wait.

(finally realizes it's a Tim Horton's and laughs) Sometimes y'all are too Canadian for your own good. :)