It’s not an analogy. It’s a counterexample. One that is irrelevant because I appear to have misunderstood your argument, but you’re not clarifying, so I have nothing new to add here.
I’m legitimately trying to understand where you’re coming from here. When you say “definition based on something binary is not necessarily binary” that’s all fine and well but doesn’t imply anything about the binary.
If X is a binary, and Y is something that results in X after a process, pointing out that Y isn’t binary has no bearing on the fact that X is binary.
It’s not an analogy. It’s a counterexample. One that is irrelevant because I appear to have misunderstood your argument, but you’re not clarifying, so I have nothing new to add here.
I’m legitimately trying to understand where you’re coming from here. When you say “definition based on something binary is not necessarily binary” that’s all fine and well but doesn’t imply anything about the binary.
If X is a binary, and Y is something that results in X after a process, pointing out that Y isn’t binary has no bearing on the fact that X is binary.