Will the placement of casters on speaker stands degrade the performance

locking is one thing, tight axel is another, they need to be tight or even when locked they will wobble.

from a review of a Music Hall Turntable

" The platter, main bearing, and tonearm are all mounted to the top plinth layer, while the bottom layer houses a set of three threaded, adjustable conical feet (complete with anti-scratch cups) and the gold-plated single-ended stereo output jacks. The logic of using only three isolation cones as footers is remarkably sound, pun intended. Euclidian geometry teaches us that while two points are necessary to describe a line, only three are necessary to describe a plane, with more than three being superfluous. In fact, with four, one of the four will almost certainly be "floating" off the surface under the device being supported by the first three. From an isolation standpoint, I wish more manufacturers would employ only a troika of isolation feet, as such an arrangement allows for the more stable support of any component. Kudos to Music Hall for adopting this stance."

Despite no knowledge, I suggest you consider the effects of metal against metal bearings and other parts.  That cannot be a good thing. Maybe we could come up with something that is based on using damping fluid for tone arms.  I actually put a teeny dollop on a pal's old Grace 707, and it helped.

I have Harbeths on Sound Anchor stands.  I took out the spikes and replaced them with round headed "carriage" type screws.  Now I can move my spealkers around wthout poking holes in my floor.  No degredation of sound.  Note:  high quality vinyl flooring directly on concrete.

The reason you got the Mye stands were to keep those panels from moving, they sure do move. A lot!
When I got my 20.1's I had a smaller space and when I wanted to listen to them, I would just move them to where they sounded the best, not a big deal. There is a difference in sound when those panels are stiffened with support,  how much support will they have on rollers...