Jensaari's videos are not canon, and at times he has inaccurate descriptions. That said, he has a fairly decent summary of the duel in that video.
If this is movies, Qui-Gon wins. Ben has demonstrated nothing that Qui-Gon couldn't do.
Regarding the EU, Qui-Gon beats Ben in strength, likely speed and TK. However, Ben's Soresu was able to hold against Vader, and I see no reason why Qui-Gon's Ataru would be any more effective in penetrating Ben's defense, considering how Ben knows how Qui-Gon fights, but Qui-Gon doesn't know Ben's technique. His Soresu could potentially last long enough for Ataru's physical demands to drain Qui-Gon of energy, and then a swift counterattack could wear down Ataru's weak defenses and proceed to fell Qui-Gon.
That is basically Kenobi's only way of winning. If his defenses can't hold against Qui-Gon, then he gets slain. If telekinetics become part of the duel, Qui-Gon likely wins.
That said, I don't see why Kenobi's defensive/stalling techniques couldn't hold against Qui-Gon, especially considering how Ben has the advantage of familiarity with Qui-Gon's technique.
I'm not sure who would win a majority, as of now.
This one is really, really really close. I don't know who I would take for the majority. I would say Obi-Wan out of my hate for Qui-Gon ( I loathe him with a passion) but that would be me being bias. =/
One does not simply loathe a character played by Liam Neeson, Zeus himself.
@dccomicsrule2011: I'm just kidding, Neeson showed a lot less emotion as Qui-Gon than I had first anticipated. The only decent acting role in the entire movie was probably Ewan McGregor. And even his performance wasn't that good. Both McGregor and Neeson, seem to be much better actors outside of The Phantom Menace.