as someone, who probably would be one of the first to start playing toribash competitive, i would agree with most of the people and say taekkyon. but i also would agree with gynx.
yes, taekkyon is great, it has the fast reaction's things, its short (idk actually if thats bad or good) and its fast "paced" means u have to react to things quickly.
but it still is to a certain degree randomness in the game. sure u can relax stuff to lower the chance of getting DM'd, but u cant really see at which point it would break (except some obvious stuff) so im kinda sure that if i were the best player and would play against an average player, that i only end up winning like 8/10 because something unexpected happened that i could not control to that point.
if u look at the currently most competitive games, there is about to exactly no randomness involved (only thing that i get to my mind is Counter strike, where if u'r "lucky" a bullet can spray in such a way that u hit the enemy anyways, even if u did not aim for him, but the chance of the occurence is quite low that it pretty much bother's no one.)
i guess if its about a "perfect" competitive mod we either need some sort of tool that shows us EXACTLY when THIS joint is going to DM/Fracture, or simply play without those feature's which on the other hand would take away like half the game is made about. also a low TF is needed so you have the most possible control of your tori, while also being in need to plan things beforehand, the matches should not be too short (but could be, if DQ is enabled or such, like a fast rush) but also not be way too long, so that if u got set behind in the beginning u still have the chance of a comeback.
so the main thing, about competitive gaming is that u NEED the FULL CONTROL of whatever u are doing. which u cant assure in toribash to a certain point.
i didnt played lenshu in ages, so i cant say anything about that...