The reason for “you can access this info online” is because some people truly don’t know they can do certain things online. Then they get mad when they wait for 10 minutes, only to find out they could have used the website (sometimes I have to guide them to the tab/link they couldn’t find, which I’m happy to do).
It’s not that we don’t want to talk to you; we don’t want you to sit on hold any more than you do, so that’s why some companies have the courtesy message that lists everything you can do online.
I know people love to paint all CSRs as evil and/or stupid, but most of us actually care.
I get your point, as a customer service professional; and while I realize there are people out there who literally can't walk and chew gum at the same time and thus need to be told what is possible, I would think that is the minority of customers today. I've been using a computer for 35 years, and doing things online for 22 years, so I'm well aware and perfectly comfortable doing stuff online (and would prefer it). But, as discussed, there are things that can't be done online and thus require a person with a higher level of access. Also, there are a number of people (particularly of a certain age, as they used to say) who just don't like or are not comfortable with computers and really would like to talk to someone as helpful and caring as a Sarah Z. By suggesting (via recording) that they might just be morons or Luddites by wanting to speak to someone via telephone strikes me as just a wee bit insulting. (And in the case of Amtrak, what message are they sending to their Amish customers by suggesting that they get with the program and go online?)
Incidentally, I've known numerous people who've done customer service work and worked in call centers; I would say from their experience and mine (observing people while having waited in many lines over the years) that there are far more evil and/or stupid customers than CSRs. Perhaps there should be a qualifying test for voice response systems, such as "If you've ever called 9-1-1 to ask what the time or weather is, press '1'. If you think you can't be overdrawn because you still have checks left, press '2'" and so forth. At least that would help separate the truly ignorant from those who are just trying to accomplish something they may not be able to do otherwise.