Yes, they should loudly call out names. I can't see that the reason for mumbling is for confidentiality. I think that's because lots of people are shy.
Well don't get a job that involves calling out names, then. Particularly in a place where people might be deaf or so bored with waiting that they've nodded off.
We have a display thing that also announces your name in a Stephen Hawking-type way. Not fool-proof.
I once accidentally walked in on the GP while she was still in consultation with another patient after a message had flashed up for me.
Luckily it wasn't an intimate examination, but it was still very embarrassing. I apologised and waited outside.
When I got in, the GP really told me off. At that point my apology turned to anger, because it was her mistake, not mine. I don't know how it works, but I guess she had my name cued up and had accidentally clicked it.
When I left I complained about her to the Practice Manager, pointing out that someone must have messaged me because otherwise I wouldn't have known which surgery to go to. I hadn't asked for an appointment with her by name. I'd asked for an appointment with the first available doctor.
The Practice Manager apologised without actually admitting that the GP had fucked up.
That happened about three years ago. I'm not one to bear a grudge. Oh no.