Even then, they actually used a tweaked version of ChaCha20 that uses a 96-bit nonce (just barely large enough to be suitable for randomly-generated nonces) and a 32-bit counter (limiting its use to 128GiB for a given nonce). Also, an extension XChaCha20 was recently published which performs an extra 20 rounds to initialize the cipher state, allowing for 192-bit nonces with no corresponding reduction in counter size.
So now there's three variants of ChaCha20