If I could like this post a dozen times, it wouldn't be enough!
Oh, I get the purpose of a phone tree, efficiency to direct callers to the most appropriate resource, but like everything else in life, it's just another tactic by many businesses to annoy you to the point that you give up and go away! And, if that doesn't work, let's put you on hold forever with the most annoying ads or canned music imaginable! Guaranteed that 95% of callers will simply hang up and never call back.
Slight side note, but similar, I called a business today and got an automated message, "leave us your name, number and message and we'll get back to you asap." Not a first, by any means, but this call was made well before noon and I NEVER got a call back. I don't care who you are, you ain't that busy! FWIW, it was a local fence company requesting product information. Rest assured, I will not be calling this company back, nor will I ever call them or visit them again. Am I a big ticket client, no, but if this is the level of customer service that you offer, it is clear that you do not value your customers and I'm more than happy to go somewhere else.