The talent is called Torment the Weak, not Torment of the Weak. That type of mistake was made at the start of the expansion 2 years ago, I thought it was long gone, but I was wrong.
Another reason for Fire's superiourity is the poor itemisation for Arcane in BiS gear. There are no good ilvl277 Bracers for Arcane, since LD 25man HM ones don't have Haste and the next best are the Rotface 10man HM ones which are ilvl264. Also, before the latest patch, Arcane had to use an ilvl258 Trinket in their BiS list, now the Halion 25man HM Trinket helps with this issue, however the Tier items as well as most ilvl277 loot still favours Fire.
Arcane is NOT more mobile. This is utterly incorrect. In fact, this is one of the reasons Arcane falls behind Fire in ICC. The mobility of the fights makes Arcane suffer a lot, due to the lack of strong instants and the reliability on keeping up a steady rotation. Fire on the other hand grants invaluable mobility through Hot Streak, Living Bomb and a strong Fire Blast alongside a priority rotation rather than a dynamic one.
Also, Arcane is definetly not mana efficient. If you want to keep up competitive dps you need to cast as many ABs as possible at 4 stacks and this is extremely mana consuming. The biggest mana concerns arise when you do LK 25man HM as Arcane. This is when you realise this specialisation cannot compete partially due to the mana inefficiency.
Flame Throwing is a must for every self- respecting Mage raiding ICC. This talent is one of the biggest strengths of the Fire specialisation. Being able to stay so far away from the boss leaves you a lot more space for reaction to random events (e.g. tank death, boss abilities, adds etc.) as well as being able to be as high as possible on the threat list before actually pulling aggro. Not including it in your specialisation is a huge mistake. The actual dilemma is between Magic Absorption and Student of the Mind and it depends on your healers and your survivability.
Gemming: Blue sockets: Purified Dreadstone if the socket bonus per blue gem is >= to 5sp; Runed Cardinal Ruby otherwise.
BiS lists are highly subjective. You should state the race (this gives you an idea for the hit cap as well as the racials used) and professions for every list that you make and include the fact that it is dependent on them.
I will comment on the other parts of your guide when I have time to read them.
Regards

