Scientists Develop Plasma Thruster That Could One Day Power Planes

I don't think so--it doesn't look like the rattling of the sphere is caused by flow around the sphere itself, but rather by the rate of the displacement/return to equilibrium of the sphere over the opening of the quartz tube. I'm assuming (and I could be wrong) that the vibration patterns between plasma-on/off varies pretty significantly, so that rattling, as opposed to occasionally shifts only happens when the plasma flow is actually happening and that the force is significant enough to be consistently displacing the sphere rather than the long-period pressure cycling you'd otherwise see. I don't think that turbulence in the classical sense would play much into it.

Not sure if this is helpful, but based on the video I'd guess that rattling only occurs in the plasma regime (as opposed to the normal, standard temp airflow), at which point I'm don't think the physical basis of the Reynold's number holds. Plasmas, especially under an external magnetic field, are only quasi-stable and so their bulk behaviours don't necessarily track with those of classical fluids.