Mate, if that were the case everyone would be running around with arp capped unholy. It's been tested in sims and tested on realm, I have spent hundreds of thousands of gold trying things out, so have countless others. You forget that big portion of DPS don't benefit from ARP, but everything benefits from STR, everything.
400 str might not seem a great deal, but then think about it... +17% from talents and buffs, thats 468, 10% atk power aura, ---- 1'000 attack power. That's almost permanent trinket proc sacrificed just to boost 65% of your damaging abilities? And your AoE potential is at least 20% weaker! And if I want some super single target DPS, there is some dude uh arp and other dude fury war, which one I will invite, please guess.