So if I have a 20W CFL and a 100W bulb, does the CFL use less units of my electricity than the 100W bulb?
Yes, the CFL will probably reduce metered units.
But if reducing metered units is all that matters to you, and we are going to overlook all the other issues discussed in this thread, I have another suggestion...
...Replace all your light bulbs with battery operated LED camping lamps, and arrange a regular bulk daily delivery of environmentally evil alkaline batteries, and a daily collection of used ones for disposal. I'm not suggesting that is a good idea. For most people, like me, it is a terrible idea. But for reducing metered units it may be hard to improve upon.