I think you’re mixing up “complex” with “complicated.” the first answer has no complexity (detail) and the second has a lot, but neither is complicated. You could make either sound more or less complex.

To actually compare them, the first should be “a shaving razor owned by Occam” and the second should be “a philosophical razor created by Occam.” Now they have the same amount of detail, and the second is far simpler to understand why someone would know about it.