I thought Klathmon was pointing out say that they an attacker could say that they just mashed on the keyboard and that would be good enough for the fallible human on the other end of the phone.
Anecdotally, I had a time where I couldn't remember may answer to a secret question except that it was a type of food. I called in and the human on the other end let me reset my password with just that explanation. Take that for what you will, but it seems like if someone knows you use passwords that are random strings, they can use that to break in.
Fair enough, as I believe I've had that happen. Random string for one of my financial institutions, needed to reset something. Pull up 1PWD, with random string at the ready and...they asked me questions that could have been pulled from a copy of my credit report. I didn't ask, so I'm not entirely sure, but I wonder if they didn't look at the answer, said to themselves "fuck that" and went with Option #2.
Anecdotally, I had a time where I couldn't remember may answer to a secret question except that it was a type of food. I called in and the human on the other end let me reset my password with just that explanation. Take that for what you will, but it seems like if someone knows you use passwords that are random strings, they can use that to break in.