If a Warlock has the Focus Magic Mage buff ,and has 3/3 Improved Demonic Tactics, does the pet's chance to crit increase by 30% of 3% (0.9%) or does IDT not scale with external buffs that increase crit chance?

If a Warlock has Blessing of Kings which increases Intellect by 10%, causing an increase in crit chance, that will scale with IDT because the character window shows a crit% change.

But I'm not sure if buffs that don't change the character attribute values work with this talent.