Take into account, that "average" stats of "use-trinkets" like
[Bloodlust Brooch], used in calculations are in fact the worst case scenario. That means, its good only in static fights, which last for (trinket's cd * n) minutes. For the Brooch it's 72ap + 1/6 * 278ap = 118.33ap, where 1/6 is taken from: 20secs of use divided by 2mins cd.
The best case scenario is fight which lasts for (trinket's cd * n + trinket's use-ability's time), for Brooch that would be for example 2min20sec fight, where it's value is rather 72ap + 2/7 * 278ap = 151ap, where 2/7 is taken from: 40secs of uses (one time at 0:00, and 2nd time at 2:00) divided by 2min20sec of fight.
Also, trinket's with use ability have natural advantage over "proc" ones in non-static fights, where u want to pump up your dps in certain moments.
That altogether probably makes
[Berserker's Call] the best trinket for dps warrior in game after 2.3.