That would be the same for all categories, again it would then be native. This is cRPG and your build (amongst others) your eq matters.
imo.
Ok it's cRPG but it's a tournament, and it's not the same for other categories as you can have different styles of play with different weapons (cut, pierce, blunt, long reach, speed, damages...) so it's more a choice.
But for jousting you only have one style, so i find it more fair to have the same lance.
But it's your tournament so you choose!
Obiousvly with new gold earning, everybody can afford a heavy lance or a LoC, but i believe LoC is unbalanced an unfair (imo).