Frequency:
1.Always


World:
Multiple NA and possibly JP Worlds

Class/Level:
60

Party or Solo:
Both

NPC Name:
Test Dummy

Steps:
Testing different Values of Spell Speed.
Ifrit or Garuda on Obey attacking a target.

The impact of SS on the recast of Burning Strike seems to be very close, if not the same, as on the player. At 737 SS, I was getting 2.83s recast on Burning Strike; at the same SS, Shadow Flare is a 2.82s cast. That said, it seems like most of the impact is lost in practice.

There's an arbitrary delay between each Burning Strike, and it was consistently shorter with 354 SS than it was with 737 SS. When the it was on the shorter side, it nearly evened them out; the 737 SS set only pulled ahead when the 354 SS set had a relatively long delay.
So it seems that while the Spell Speed stat is reducing the recast of pet skills, on average the pets are still waiting until their 3 second recast in order to re-use the skill. So this in turn nullifies the effect of Spell Speed for pets.

i.e.
3s Recast, ~0.2s to activate
2.9s Recast, ~0.3s to activate

Also the pets are slow on attacking to begin with due to this delay, as on average with a 3 second recast, the pets do not attack until 3.2+ seconds, so pets are losing 7% of their performance right off the top.

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Visual Representation of the Issue - Supplied by Player Shinryu Reishiki

https://www.youtube.com/watch?v=Zj0mcBs97eY