Absolutely, but, you're not talking about 100's of points of damage in burst difference. You're talking about 20-40. And the span of one global cooldown, at most. And if a warrior actually gets someone close to being dead, they are spaming Execute which is always going to deal more if you have more rage........which is exactly what haste gives you.
"burst" Set up of: Shadowfang/Gutterblade, Tumultuous Cloak of the Soldier, BoA Valor Helm, and +7 glove enchant.
vs
Haste Set up of: Mass x2, BoA Gargoyle Cloak, BoA Berzerking Helm, and +10 haste
You lose 17 Strength, 2 crit rating, but gain 6 stam, 6 agi, and 20 haste
Stamina isn't really a big deal, but, it's a nice to offset the lose from AGM when it's on cooldown and you sport the BoA Haste trinket.
The lose of 2 crit rating and addition of 6 agi almost offset each other in terms of offensive impact. So you're only losing 17 strength. That's not going to drop your burst as much as people are leading on. But, whatever, I tried to help.
GL