I'd call it "Flash style" since it's harder to do smooth and easy movements in flash because you have to redraw the stick every frame. In fact, people dislike it so much they make their characters fast so they can avoid redrawing sticks even more. In flash it's hard to do foot placement because of that, but because you draw stuff and you have all those flashy tools at hand you can use FX and cinematics to cover up your bad animation, like glitter on turd. Some of the better flashies focus on movements too and become well-loved.
In pivot, there's no excuse for speed or bad foot placement, since you can move skeletal figures with pixel-perfect precision. Flash is good if you want to do special effects, cinematics, fancy menu stuff and sound. Pivot's far better for character animation. "Pivot style" is when you focus more on flow, weight, physics, all that good stuff.
People always go on about flash vs pivot, but you know what is a good idea? Using pivot for movements, bringing that into flash and then going all FX on it. Honestly, if you can animate movements well, you won't need blurs or shakycam. I'm at that level right now, pivot-wise.
But flash AND pivot?
I edited the pivot so I could animate the laser firing at the start in flash. (The disintegration part is still pivot.)
I still suck at flash, but there's my point. People consider them two things that go against each other. I think they'll compliment the hell out of each other.