Yes, one or the other (in general; as I said, it's complicated).
If one has a bullet button, one can have any of the "evil features" listed in the blog post. Without the bullet button, a firearm cannot have any of the "evil features".
Evil Features:
California Penal Code Section 12276.1
(a) Notwithstanding Section 12276, "assault weapon" shall also mean any of the following:
(1) a semiautomatic, centerfire rifle that has the capacity to accept a detachable magazine and any one of the following:
(a) pistol grip that protrudes conspicuously beneath the action of the weapon.
(b) thumbhole stock.
(c) folding or telescoping stock
(d) grenade launcher or flare launcher.
(e) flash suppressor.
(f) forward pistol grip.
5469 (a) "detachable magazine" means any ammunition feeding device that can be removed readily from the firearm with neither disassembly of the firearm action nor use of a tool being required. A bullet or ammunition cartridge is considered a tool.