That's funny. I use them in the exact opposite way.
When I want exact positioning then I will use the scrollbar. When I want to scroll past pages and pages, I will just fling the scrollwheel.
Scroll bars, on the other hand are perfect for that kind of jump — where you don’t know what you’re looking for, but you know mostly where it is, and you’ll recognize it when you see it.
† There was a time, right when momentum scrolling was first introduced as a third-party mouse-driver feature ca. Windows 98, where it wasn’t capped. But that was a horrible UX: if something was really far down the document, then by the time you saw the thing you wanted to stop at, you would often be going far too fast and overshoot it by a lot, requiring almost as much scrolling back in the other direction. This first iteration of the feature basically expected people to understand how to “land” on a target using inertial, frictionless thrust. I imagine there were some future Kerbal Space Program players who enjoyed that, but most people didn’t.
Some of their newer gaming mice have a half-ass version of this as well with a manual mechanical toggle.
For exact scrolling I'll use the scroll wheel or dive for the scrollbar.
What I really want is a toggle bound to a button for enabling/disabling drag scrolling. Most of my flow is keyboard based so being able to toggle that on/off for a dedicated stroller would be great.
Its battery lasts about a few weeks with above-average use (12+ hours per day, 7 days per week)