It's not so much that you're preparing for 7 separate cases, as a thing that works in one place and almost, but not quite, fits in 6 others. You rarely exactly duplicate code, but often duplicate and modify.

By the time you hit 7, you do clearly Need It. But now you've got 7 cases to work from in writing the generalization. When the number is 2, it's often reasonable to say, "I don't know how these will evolve and I'll probably guess wrong".