Titan plume mechanic is a terrible example to elaborate spell speed. The tank will have no incoming damage while plumes are being cast - As it is being channeled. If the tank's prone to dying prior to plumes being cast, you're doing something wrong. There's no direct combination damage on the tank in that entire encounter unless too many people have died - Which will most likely lead to a wipe either way with 3+ deaths.
A properly prepped up tank can survive T9 claws: Stoneskin/Adloquium beforehand, Virus Nael, Pre-cast a Cure II/Adloquium before the first claw even goes in. Even with 0 spell speed you can get 2 cures in during the claws and one right after the 5th, spell speed makes no difference on this part - Three cures if you use Presence of Mind. Depending on the amount of favors you can even toss in a divine seal or lustrate right after the second adloquium. This part can be solo healed if needed or even a well-timed benediction is sufficient if you are late by reaction to it, rather than anticipating it. You even mentioned you pre-cast yourself. Whether you pre-cast with 1,90s casting time or 2,00s casting time, this does not matter when pre-casted.
For sake of numbers, you keep mentioning 0,12-0,15s casting time difference, but in practice that's way less. There's natural spell speed on a lot of pieces whether you want to take spell speed or not (HA choker, Sol choker, HA gloves, Sol gloves etc.). Without even trying to get spell speed in my gear I already have a 1,90s casting time on Cure. If I were to swap out my HA cane for something without spell speed that's at 1,94. Even if you manage to get 0 spell speed from your gear you're at a 2 second casting time. With max spell speed on the nexus (as we are discussing this, not gear overal), the nexus will decrease your casting time by a maximum of 0,04s. Contrary to the 0,12-0,15s you mentioned before.