I hate to break it to you Drkdays, but the healers chiming in are telling the truth. All 4 healers have special ways to handle the tank's damage taken from the double pulls.

WHMs can stun spam from Holy casts then drop an Asylum bubble or Temperance angels wings after that.

SCHs can use Aether oGCDs and can get an additional 3 more with Dissipation. The fairy is sacked for 30 seconds, yeah, but it can be combined with Recitation to make a big Adlo shield and Expedient can also be supplemented in too. The second big pull can use the rest of the shield Seraph fairy specific stuff.

AST cards can be used off the global with occasional Aspected Benefic regens to keep the tank up.

EusisLandale essentially already mentioned the Haima / Panhaima combined with Kerachole / Taurochole strat for SGE as well. Technically Physis first since it boosts healing done.

This is all just looking at it from the healer perspective too. If the tank is a PLD or WAR, that's even less healing potentially needed and could warrant some healing cooldowns getting postponed a little bit longer. At least until Requiescat / Imperator or Bloodwhetting is done.