Dekar, the problem isn't no tripping in itself, it's giving players the choice.
You're also suggesting we force players to play without tripping if they don't want to (well a 50/50 chance but whatever). And that's just ridiculous. Ports are a part of Brawl, hacks aren't there's a difference so don't bring that up.
Also infinite replay doesn't change the gameplay at all, it's not comparable.
Anyway read AZ and Twinkie's posts for why having it as an option is unviable.
And why stop at tripping? Why not allow players to play BBrawl for their set, or Brawl-, or Brawl+, or Muscle March? Really it's up to the TO I guess, but you shouldn't expect to be able to play without tripping, when that will delay the tournament, with not only your match but other matches having to restart wiis.
Finally, there's a difference between a Brawl match that had no tripping because of chance, and a hacked Brawl match where nobody tripped from a dash because it was turned off. It's the knowledge of whether tripping is on or off, certain tactics become more viable without tripping, like dash chain-grabs with IC, or dash dancing. Even if nobody trips in vBrawl, they're not going to try to dash dance because that will give them a high chance of tripping. If tripping is turned off, than that option becomes viable, and people will start doing it.
The knowledge that tripping is turned off affects playstyles, and thus changes who the better player is, thus making it a different game, which shouldn't be played at a Brawl tournament.
If you want to play without tripping run a no tripping Brawl tournament, don't vouch for the option of playing no tripping Brawl at a Brawl tournament.