As far as like certain mechanics, the best way to handle those is watching spell timers that DBM puts up. You plan your CD's for these moments. Elegon's breath was a great example where DBM put up a timer for when the breath came off CD and you could make sure to have a CD available. And for Will Guardian worked very nicely for every gas. I will say Blade Lord was a prick in that assault wouldn't hit consistently based on the spell timer and you take an unmitigated 400K hit because you hit Shield 4 seconds too soon.
Currently council (on farm) is still a pain to me because of our strategy. I tank all frost stacks and sometimes the healer nods off when I get frozen and then I'm eating ground. I hit my own CD before I freeze and even go as far to call out each healer CD on me to chain them but I still die once in a while. Since the fight is on farm we don't really want to change the strat (well I do because I'm so sick of dieing) but I guess me dieing is now part of the strat. :P
As you pointed out though you could be the best skilled tank but if you don't have a skilled healer to keep you up then you're still going to die. Paladins can save themselves from at most 3 near death events (LoH, AD, and 5 stack WoG). Once used up if you still die though despite proper CD usage and self-saves then it's all on your healers.
One difference between 10 and 25 is that in a 25 it is more likely to have a healer class variety where as with 10 you get 3 and its not unheard of to have 2 of those 3 being the same class. 10's are much more sensitive to raid make-up and that can vastly affect strategy as well. In your case it could be that because of your raid make-up tank healing isn't as inheritly strong so double-stam trinkets are necessary.
All that said back to the avoidance thing, granted a dodge can save. Think though. You're relying on RNG to save you but look at how much it fails you when you miss when not capped or when you use your Mogu Rune. There is no way to know if RNG will help you when you need it, but you know keeping Shield up will help.