OK. Let's look at it from the client's view. (Let's pretend you are calling for curbside service.)
Me: "Thank you for calling Applebee's in San Bernadino. This is Annette. How may I help you?"
You: "Good afternoon Annette. How are you? I'd like to get the 2 for $20 lunch."
Super odd. Most, not all, people don't really care what the person's name is on the phone, and even stranger that you'd repeat it.
Of course, in some parts of the country, most likely where people are addressed as ma'am and sir, it's not so weird.
Aside:
The 30 year old guy at the gas station told me to quit saying please and thank you because it was freaking him out after being yelled at and disrespected all day. Poor guy. We then bonded over the rude people who put the money on the counter instead of handing it to you.
Anyway, that sucks. I hate phone shops. I hope yours wasn't too much money that you are missing. I called two car dealerships at lunch yesterday. Dreadful. Just move on. Lesson learned for the shop, but it's never wrong to be polite.