Jax = Solaire lore direction after the League retcon

With the removal of the League, Jax lore is in a very peculiar place that he have the most iconic lore of all, and yet fundamentally tied to the League. The new lore should still encompass his nonchalant-OP'ness and his trusty lamp-post. THe direction that I was thinking we could go in is similar to Solaire from Dark Soul. Once a divine being that screwed up, Jax/Solaire now wander the earth, oblivious to their divine status. Both are jolly and boisterous bruiser who are inhumanly awesome despite their allegedly human stature, both accomplish epic act using ordinary equipment (Solaire equipment is explicitly stated to be just a good set of armor, and all the strength is from Solaire, and Jax uses a lamp)

The new Jax could be a wandering fallen-god of war, who probably was too lazy or absent minded to do his job, and as a result is casted down to earth and lost his memory, where he become a wanderer but retained his jolly and boisterous personality and power. His lamp could be tied to his divine status, the ability to turn anything he gets his hand on into an OP weapon. The explanation to why a lamp could be once he is casted down to Earth, he was surrounded by bandit looking to make a quick buck. Instinctively, he grabbed the nearest thing, a lamp post, and proceed to royally woop their asses. Afterward, he enjoyed the fight and the secenery of Earth and thought "Hey, this place is kinda cool", and wander the earth, still holding the lamp he picked up because he couldnt be bothered to search for a weapon.