Do Octadic Capacitors Use More Energy?

The short answer:

Yes, increasing the tier of Capacitors used (None -> Double -> Octadic) will use more power.

The long answer:

A machine at the base tier can use (X) amount of power at maximum and can store (Y) at maximum. For this example, I will be using the SAG Mill.

Example:

At base, the SAG Mill can store 100,000 Redstone Flux (RF) and can use a maximum of 20 RF per tick (20 ticks every second)

With the addition of a Double Layer Capacitor, the SAG Mill can now store 300,000 RF and use 60 per tick

Finally, with the addition of an Octadic Capacitor, the machine can store a whopping 500,000 RF and can use 100 per tick

Conclusion:

Octadic capacitors will consume more power.

The question stated that on a wiki page, the Octadic Capacitor was said to use up to 4x as much power, which may be true on some machines, but will vary from machine to machine.