Sure, but the problem with moving (and this is why O-Sensei didn't teach Ki-no-nagare until San Dan) is that there's so much more stuff happening, so many more variables to account for.
Personally, I don't think that's a universal rule. Some things are easier and simpler with movement -- e.g., riding a moving bike is much easier than making a bike stay in place without moving. For cycling moving is the more basic and fundamental version and staying still is a more advanced skill.
Some things are simpler stationary, some things are simpler moving, some things neither is more basic, they're just different.