Let's face it. Most cubers never tried to understand what they were doing, ever. This isn't something that is different with this generation of cubers.
When I got my hands on a 3x3x3 I couldn't figure it out myself and learned my first method. I didn't understand the "rules of the cube", orientation or anything I consider common knowledge right now. All I understood intuitively was that "centers didn't move, piece (not stickers) had to go to a fixed place and that blockbuilding or layering would be a way to solve it
I figured out how to do many other puzzles (magics, clock, pyraminx, nintendo barrel and variations and even square-1) before I finally decided to find a way of solving a 3x3x3 myself (I called them pretty algs, turned out they were mostly commutatorbased algs)
Today, I wouldn't know what cycical (cyclic?) decomposition would be.