Most likely it's more that I'm misunderstanding. But....am I correct in understanding that if we can lower something for longer than 30 seconds, we aren't using our fast twitch muscle fibers?
I'm not sure what you mean by; "lower something"?
If you simply mean; perform a physical activity for longer than 30 seconds, it depends.
We are all born with a certain amount of "fast twitch" and "slow twitch" muscle fiber and that is genetically driven, which is why some are born to be better at explosive type sports and others excel more at endurance activities.
Fast twitch muscle is utilized for the more explosive movements, that require power. Slow twitch muscles don't create as much force, but can contract for long periods of time because of a much richer blood supply and how the fibers are structured.
A person performing a 100 meter sprint, is relying almost completely on fast twitch muscle fibers and marathon runners, rely much more on slow twitch muscle fibers. Fast twitch fibers create more power, but tire quickly and the activity will build up lactate (muscle burning) and the activity will eventually need to stop, or slow down. Slow twitch fibers can contract for much longer durations, because they utilize oxygen much better than fast twitch fibers.
So in essence, if you perform an activity which requires a lot of effort (lifting a heavy weight, sprinting, etc.) you will use mostly fast twitch muscles. If you perform less intense activities, slow jog or walk, you are using mostly slow twitch fibers.