Yes, I believe this is key! The biggest reason most skiers struggle with bumps is that they put little effort into building really solid short radius (very short radius) turns on groomers. The biggest reason most of us aren't as competent in bumps as we'd like to be is that we don't spend enough time working on those short radius turns. Most of the time, there's not a strong incentive for skiers to make short radius turns on groomers. One can get down the mountain and have a great time making nothing but longer radius turns. But if we don't work on the skills in less challenging conditions, they won't be available where we really need them.You can ski your own secret invisible bumps on a groomer. All you need is a pair of modern SL skis and the ability to cleanly carve high-tipping-angle pure arc-2-arc turns. The good thing about these bumps is they are never too big for your ability, although you can find you may be carrying too much speed for them and get launched by a nasty one. This is where you can learn to absorb the virtual bump, get some air off it, or adjust in between the two extremes.
And really, one needs to practice and be able to make a variety of types of short radius turns--more carvy, more slippy, with more of a high C, and with a sudden edge set. Because out in the wild, sets of bumps are rarely uniform in size and nicely spaced out. They're constantly throwing something new and different at you. While there are various tactical approaches to skiing moguls, you'll generally have to mix them all a bit in a single run--banking off the sides of bumps, skiing the troughs, slipping down the faces, absorbing the peaks, diving into holes.
Much of the time, the bumps don't truly dictate a line. Often you could realistically ski any line, even GS turns. It's just that some lines are easier or less punishing than others. Trying a variety of lines is a good way to practice the variety of movements that come in useful. Then when you get to a really gnarly bump field, with icy angular bluffs on the sides of the bumps, constraining your line much more, you'll have access to the moves needed to ski that constrained line successfully.
The conscious mind isn't capable of rapidly issuing the many small instructions that our muscles need to rapidly ski a bump field. What long hours of practice do is train the subconscious brain to handle the majority of the management duties. The conscious mind can then focus on making the larger decisions. When people speak of looking 30 feet ahead in a mogul run, they don't mean that you should be consciously plotting out all details of the next 30 feet of the run. That would be overload. By looking ahead you get a mental picture of the terrain, that the subconscious brain can use to make most of the small decisions.The one thing you and many other experienced skiers that don't ski bumps well have in common is your brain has not developed the brain control to muscle action structures to do so. For example there are many pro skiers racers that never learned to ski bumps well because they spent their ski lives focused on racing with very little time ever in mogul fields. Ever notice how the more you play a simple video game like Pac-Man that after a few months of occasional play, one gets amazingly better as though one is on auto-pilot? One can say the same thing about driving vehicles on urban freeways.