While Jax's lore remains untouched, he is still canonically the most powerful champion in League of Legends lore wise. Death personified might roam the Rift, but give Jax an actual weapon and he'll still mop the floor with anyone, and even without he's still a superior opponent. Supporting quotes from his lore are as follows:
"Jax proved himself to be an immediate terror in the Fields of Justice. The self-proclaimed 'Armsmaster of the League' rattled off a streak of consecutive wins that to this day has not been matched."
"His Judgment was the quickest in League history, where the Doors of Acceptance glowed and slowly swung open as soon as it began. Jax faced no recorded Observation or Reflection during his Judgment."
"High Councilor Heyward Relivash, created special restrictions for Jax to fight under. This was something the League had never done before, and something that has never been done since.
"Neither the League's sanctions nor his own has affected his winning ways."
Jax is the unstoppable warrior in lore. He's made his mark which no other champion has been able to surpass. Until that lore gets reworked, no matter what another champion can do, in the lore, Jax can and has beaten them consistently enough to be one of the highest praised champions on the Fields of Justice.