Can effects that change a Power’s Speed also change the Speed of other Actions taken in specific Phases? (e.g., dealing Damage with the Beasts token marked by "Unearth a Beast of Wrathful Stone")

Can effects that change a Power’s Speed also change the Speed of other Actions taken in specific Phases? (e.g., dealing Damage with the Beasts token marked by "Unearth a Beast of Wrathful Stone")

No. Speed changes apply to the original use of a Power, not to delayed effects of a Power (as in this case) nor to non-Power Actions (like Breath of Darkness Down Your Spine abducting pieces at its Incarna).