[lisasays]

This is never enough time to ask clarifying questions, diagram things, and get a good solution out unless it's similar to a problem I've already solved.

Of course not - interviews aren't about assessing actual problem-solving ability (in the face of, you know, actual real problems). But rather your ability to recite stock answers to made-up problems the interviewer found on some website somewhere. That, and your ability to politely tolerate their horrible time management skills, laugh at their jokes -- and feign belief / interest in their product.