Moving cables and the affect it can have on your sound has been discussed for decades.
Sure: Among audiophiles, who have also discussed "for decades" the "sonic effects" of a vast amount of pseudo-scientific "effects" (often barely that). There is literally no pseudo-scientific idea that an audiophile hasn’t come up with, that didn’t have some portion of audiophiles saying "He’s right! I can hear the difference!" That’s because audiophiles generally don’t employ methods that control for their imagination.
That’s understandable to some degree due to practicalities involved, but many audiophiles go further to even deny the problem even exists.
Back to moving cables changing the sound: In the pro sound world, who use vastly more cables than audiophiles, no this does not come up. That is beyond using cables along well known parameters. I’ve recorded in, visited, and worked in many pro studios and not ONCE has this worry of "moving cables will change the sound" been either a problem or even raised as a problem. Because generally, there doesn’t seem to be good reason (beyond subjective audiophile hand-wringing and an appeal to golden ear hearing) to think it’s a problem.
If significant sonic changes occurred to cables simply because they were moving, guitarists would have had to stand statue still while performing on stage lest their sound keep altering. But they don’t do that, because they don’t have to. Guitarists (and other musicians) have used cables that writhe around on the stage or recording floor as they move and no engineers stress about "sound obviously changing" (even with unbalanced cables) due to "cables moving" (so long as the cables can stand the stress of movement, aren’t landing on power cables or whatever). Look at photos of Led Zeppelin or any other band performing. Look at the cables snaking all over the floor. The horror!
And when recording, engineers/musicians move cables around all the time and NO ONE says "We’d better wait a few hours - or days - for the cables to "settle" again or we can’t get the sound right. That nonsense doesn’t fly in virtually any pro setting. It’s the provenance generally of hand-wringing subjectivist audiophiles, for good reason.