Well the title of the thread IS "Takeoff alternate legalities question" so I'm assuming that's what they meant. Therefore even though they worte "Takeoff mins" I htink they meant "Takeoff Alternate Requirement" - when/if you need to file a takeoff alternate and so on and so forth.
I'm thinking this person wants to know (hypothetically speaking) if the weather was 0/0 and you're aircraft is capable of 0/0 approaches why you would even have to file a takeoff alternate? What would preclude such a thing?
PS - Besides, I wouldn't want to think all my research was for nothing?

Cactus Crew was keen to spot it! T/O mins vs. Takeoff Alt requirements!