>They are not two different clefs, the are two halves of the same 11-line staff.
This is actually another reason to use an isomorphic/"chromatic" staff. If you prioritize data compression (traditional notation), you have 7 notes per octave + modifiers. If you prioritize linearity (isomorphic/"chromatic" notation), you have 12 notes per octave.
12 is an even number, meaning you can stack octaves and have consistent notation for each one. With traditional notation, you always have to keep track of which octave you're reading and adjust accordingly.