I agree, contacting a local branch from a bank can be a similar challenge.
However, I am banking with First Direct, so not really an issue for me! I can talk to someone empowered to resolve most issues or do most operations, 24 hours a day (typically a human being answers within 10 seconds)...
If the switchboard staff have access to repair logs/records, spec of bikes etc, then it could be useful (particularly out of hours), but they are just getting in the way otherwise.
I find that First Direct are the exception to the rule. They tend to put you through to someone who can quickly sort out whatever problem you may have. They speak English too, which is always a welcome bonus.