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Since a CB can only be blocked, and not dodged or parried, dodge/parry will make your shield block stay up longer by taking white hits, since they come before block on the attack table.
I think what you mean by this is:
Once you block with SB up, a CB will be able to penetrate your avoidance/block without SB until you can get SB up again. Therefore if you dodge/parry an attack, the attack will not waste a charge of SB, and will keep you crush immune for a bigger portion of the fight.
Also, the reason mitigation builds probably have more health is because they need it...even with more armor if you take a CB (or even a crit if you dont go for crit-immune) you're going to take a lot more damage, and the extra health is needed as a buffer.
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Not true. If you look at the various tanking guides it's fairly evident. While it's always said that block, dodge, miss, and parry together work to prevent crushing blows, the four stats are rarely, if ever, lumped together into one catagory as avoidance. They're always presented as seperate stats. This is because in the case of anything aside from CBs, they serve very different purposes. Miss, dodge, and parry are avoidance stats. Block (and as a result, block value) and armor are mitigation stats. Stamina I suppose could be lumped into mitigation as well, as mitigation gearing extends the effective health of a tank by playing hand in hand with stamina, while avoidance does not. To further show this, most 'avoidance tanks' tend to have lower HP totals than 'mitigation tanks' because of the natural choices in gear and gems for each setup. I would personally consider stamina to be more of a universal stat, but it is true that mitigation sets tend to have more of it.
There are no dual definitions for it. They are two very seperate things, both in definition and in the effect they have on gameplay. If something is avoided, nothing happens as a result of it. You don't get rage, you don't take damage, it's like the attack just never happened. That's what occurs when you dodge or parry an attack, or it misses. If you mitigate something, it still happens, but not to the extent that it would have been before. If you block 500 of an attack that hits for 1.5k, you take 1k damage. Did you take less damage? Yes. Did you avoid the attack though? No, it just didn't hit you quite as hard as it would have before. I know I'm mincing words here, but I was doing that anyways, so hell...I may as well do it right and be really hard headed about it. Lol
Apparently they are quite often lumped into avoidance, because I quite often see people considering block "avoidance" when the conversation is on the topic of avoiding CBs. Note the particular word I chose: avoiding. This is because block helps you avoid CBs. It's somewhat of a stretch, but I think many people read it that way - that avoidance stats help you avoid higher quality hits (e.g. CBs and crits) by pushing them off the table.
I'm saying both that blocking is avoidance and it isnt. It helps a lot to avoid CBs (I'm pretty sure that if CB's weren't in the game, and a warrior was already crit-immune, he may stop using GCD's and rage on blocking when it may only mitigate a small amount of damage). But it isn't avoidance in the sense that it makes it so the attack never occured. So there are the dual definitions, because until someone comes up with another definition to lump block with the avoidance stats, "avoidance" will be used to denote what stats you need 102.4% combined to be crush immune.
One last nitpicky bit...you said:
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If something is avoided, nothing happens as a result of it. You don't get rage, you don't take damage, it's like the attack just never happened. That's what occurs when you dodge or parry an attack, or it misses.
Not true. If you parry an attack, you gain up to 40% attack speed on your next attack. Something happens, but no damage comes as a result. Also, cooldowns may be spent, so you will be unable to use that ability again for a while if you are avoided. If the attack worked as if it had never happened, then no cooldowns would be spent and no rage/energy/mana/focus would have been spent in the first place.
If you're going to be nitpicky, I'm gonna be even more. You think you have a hard head? I spent all of my lunches in 8th grade banging my head on a wall repeatedly b/c I had nothing else to do. Hasn't affected me at all. Does anyone else see a clown killing doves?