To me, the latest video looks more like crosspicking, but I’ll defer to @Troy.
As I think Troy has mentioned, what makes elite crosspickers effective is that the motion that lifts the pick out of the plane in the second “phase” of the pickstroke isn’t merely the reverse direction version of the same motion that buries the pick down into the plane of the strings in the first phase of the pickstroke (important to note here that we are talking about phases that break down a single stroke, i.e. just a downstroke, or just an upstroke). That is, rather than, say, flexing the wrist in phase one and extending the wrist in phase two, you have different motion mechanics that are making each phase work: e.g. (in the downstroke case): forearm rotation with the wrist in “flexed” position buries the pick in the plane in phase one, then the wrist extends to lift the pick out of the plane for phase two. Then the upstroke would be that combination of motions in reverse: wrist flexes for phase one of the upstroke, then forearm rotates up out of the plane for phase two.
Note that the movements don’t have to be completely isolated, only that each contributing mechanic has just one direction for downstrokes, and one direction for upstrokes. E.g. wrist extends on downstrokes, wrist flexes on upstrokes.
Note also that the movements don’t have to be “forearm rotation and wrist flex/ext”, it could be a combination of wrist deviation and wrist flex/ext, etc. In theory, maybe someone could do both phase one and phase two with rotation of the forearm, but I don’t think I’ve seen that be used effectively. To my eye, what you are doing looks pretty similar to Carl Miner: mostly forearm rotation, but with a subtle wrist flex/ext component. From this angle, I’m not sure whether you’re trying to rely too much on just the rotation of the forearm or not, but you seem to have moved away from stringhopping at least.