Burnouts aren't to break in new tires, they are to heat up the rubber for maximum traction over the next few minutes.
Tires don't need to be broken in... the problem is twofold: First, they are a slightly different profile (rounder, without any flat spot in the center) when new which results in twitchy handling until the center wears down a bit, and second they may have been mounted improperly which means a blow-out... you don't want to be pushing things when it happens. you could use a burnout to wear down the center of the tire (not a burnout like the one in that video though... that wore the sides as well) if you were willing to risk the blowout thing.
There's also the myth of the mold release... but what company in this lawsuit-happy country would sell tires that weren't washed properly? All it would take is one person crashing because there actually was mold release and his family suing for millions of dollars to convince them to put in a washing machine to clean the tires before they left the factory.
