Stop leading us down the garden path (no operator available)

I just called a Inova Hospital, outside Washington DC, with a question about a bill. The automated system told me that if I wanted to talk to someone, I needed to press a certain key. After I did, the next thing I heard was "sorry, the office is closed. Please call back during normal business hours of ..."

This practice annoys callers, because it leads them down the proverbial "garden path." Instead, can you do the following:

- (better option) program your telephone system so that it "knows" when you are open and when you are closed. Then, depending on the time, either offer the "live person" option, or withhold it.
- (alternative option): elaborate on your "live person" option, and tell the caller when that option is available, e.g. "If you want to speak to someone, and your are calling between ___ and ____, press 0."

Thanks.