that doesn't make sense, you apply, then get the call for an interview date, that's how it worked for me. And in my town it took like a day to get the interview, and a week or two after that to get the LTC.
You are lucky to live in such a town. My town is backed up months for an appointment for application. Then its another 2-3 for delivery of license. Not sure if designed that way to split the difference