Patch 2.16 made it so the tooltips always displayed static times, but contrary to popular belief, the pets are still affected. It doesn't amount to much, though...
Side by side Wind Blade test. It's a little difficult to see at full speed, but the cast bar for the spell speed Wind Blade finishes several frames faster; the recast time is also shorter.
http://youtu.be/HneAv7NrIiw
On spells with longer cooldowns you can actually see the effect on the tooltip's countdown.
Ifrit-egi is unaffected by spell speed because it only has skills, but skill speed does affect it.