Specialization saves 30 mana per regrowth cast. We still need to take into account regrowths sitting tick loss, as it is a 6 second cast time. You save 7 mana per encounter, so 62 instead of 69. You would save 18 mana from the heal, so you are still at -84 HP after using Canni 4, and your pet is still at -100 HP.
Specialization reduces the Slow/Root cost of both thr JBB Shaman and the DoT Shaman, so they both save the time there.
If the DoT Shaman can start another pull at -84 HP with their pet at -100 HP the JBB Shaman can start another pull at -150 HP. You cannot pad the JBB shamans recovery time in a silly attempt to win. You cannot claim the Shaman should never be at 100% HP while also forcing the JBB Shaman to be at 100% HP. The JBB Shaman is also pulling after 188 seconds, not the over 200 seconds you keep padding.
The DoTing Shaman is affected more by the wild card variables, which you keep ignoring. I take them into consideration, you just keep not reading it.
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