It's totally dependent on the type of person being interviewed. There is a difference between "knowing how to work in a team" "knowing when to be civil, when to push, when to go to battle", and wanting to parrot answers in order to just get to the next step.
If it were me, I'd try to engage with the recruiter and make them go completely off book. I'd ask them about their career, and try to find a different job for them (instead of reading stuff off a sheet of paper), or if that's what they are content to do, try to escalate and get them to reveal their "client" or "person they report to" (which in recuiting is a no-no) - I think I have the confidence and social skills to try to do that (I've talked past border officials, and various recruiters, and having been in a tele-job where I had to follow a script, I know exactly where a script reader is most likely to go off book if I ask something at exactly the right time). I am in no way qualified for a director of engineering position, but I can very easily get past this telephone screening, because precisely I've been the person asking this kind of question and using this kind of script. If I got past this screening, I'd be wasting the time of the person next in line for the interview.
Of course, it is a valid strategy to get an interviewee to follow along, but it's misguided - using the entirely wrong tool (scripted questions/answers) for doing the job (finding someone with managerial and people talent).
If it were me, I'd try to engage with the recruiter and make them go completely off book. I'd ask them about their career, and try to find a different job for them (instead of reading stuff off a sheet of paper), or if that's what they are content to do, try to escalate and get them to reveal their "client" or "person they report to" (which in recuiting is a no-no) - I think I have the confidence and social skills to try to do that (I've talked past border officials, and various recruiters, and having been in a tele-job where I had to follow a script, I know exactly where a script reader is most likely to go off book if I ask something at exactly the right time). I am in no way qualified for a director of engineering position, but I can very easily get past this telephone screening, because precisely I've been the person asking this kind of question and using this kind of script. If I got past this screening, I'd be wasting the time of the person next in line for the interview.
Of course, it is a valid strategy to get an interviewee to follow along, but it's misguided - using the entirely wrong tool (scripted questions/answers) for doing the job (finding someone with managerial and people talent).