Yeah, that'd do it. There's nothing morally wrong about changing up cadence.

If you're interested in using your gears to get speed gains, it is worth working on your shifting pattern for hills. Grinding up hills or standing to climb can be less efficient. Learning to spin up and use a high cadence can take a lot of lung power, and it certainly doesn't hurt your leg strength. As you gain ability on the hills, you'll find it's easier to maintain a higher gear on the flats. Voila, you end up using more gears.

The nice thing about single speeds is they encourage you to use a nice high cadence on the flats. So you've got the ability to spin fast. Just you might not always use it .