We do not currently know of any antonyms for h-system.
The noun h-system is defined as:
A convention whereby Esperanto's circumflex accents (ĉ, ĝ, ĥ, ĵ, ŝ) are replaced by an h after the letter (ch, gh, hh, jh, sh) and the breve (ŭ) is left out entirely (u), for convenience of typing.