Sorry, it didn't word my statement properly. What I meant to say is while the powers were in cool down (currently about 2 minutes) you could enforce the drain then so you won't be stuck with the drain all of the time.
I'm not sure if this someone has already thought of this already. But since the singularity cores go offline after a power is used, why not enforce the across the board energy drain then? Players that use the powers will face the power drain along with losing the single subsystem bonus for as long as the singularity core…