I didn't read your link, but the "thrust" in thrust to weight ratio generally refers to the force that the engine produces. Therefore, it isn't a brilliant analogy to compare the thrust of a helicopter rotor (which does get all its power from the engine) to the thrust of an airplane propeller.
The propeller doesn't contribute materially to the lifting force on an aircraft, while the rotor of the helicopter provides practically all the lifting force on the helicopter.
Both machines need to (somehow) generate lift equal to their weight to stay airborne. The airplane just does this by moving a static wing through the air, which is a much more efficient way of doing it. Its engine/propeller isn't even immediately required to move the wing through the air; once airborne, the aircraft can fly downwards at an angle without engine power to maintain its speed.
You'd say that a helicopter uses "powered lift" while an aircraft does not.