I bet your experiment works. I think your understanding is correct. I read an article about a recent college grad who used that technique to build up her score.
I've thought of it, but then I've thought, "Why bother? Why would I want a higher score if I have no intention of buying anything on credit, or taking out a loan, in the future?" I have the auto pay function set to pay when the monthly payment is due, and my score moves up and down within maybe a ten point range depending on that month's balance due.
I suppose another way to up your score would be to ask for higher credit card limits, but again, why bother if you have no intention of borrowing in the future?
I received a credit limit increase on my request a year or so ago. Completely unneeded, but part of the experiment. (sometimes it doesn't take much to entertain me!) If I ever hit that limit it means I'm sadly out of control. It did bump my FICO rating a few points upward. Interestingly, I paid of the mortgages on two houses in the last few years. Each time, my FICO dropped. Very counter-intuitive. They like to see well-managed debt. To far in the hole and FICO suffers. Minimal managed debt and FICO suffers.
It's a racket IMNHO. My credit record is perfect but with no debt on the books, FICO isn't at the max. While still in the exceptional range, I can't see how I'm any risk to them at all. And, like you say, it shouldn't really matter. I'm not in the market for any debt.