Windjammer tire chocks ???

I don't think any kind of wheel chocks are going to solve the issue you have described. IMO 95% of the movement inside a trailer when walking around is from simple tire sidewall flex and suspension and you will only get rid of or reduce that by taking tension off those two sources of movement.

I agree with you about half way. Anything you can do to dampen the suspension is going to bring better results. That would include the Bal X chock. I don't believe tire sidewall deflection is typically felt inside the trailer. That deflection is small and occurs slowly from larger weight transfer. I could be wrong but I've stood on a lot of tires and they don't compress much.

The OP may have a better result using a larger rubber chock and placing them outboard of the wheels to eliminate and for-aft movement.

I don't have a horse in the race because I have Torflex axles with shocks. There is very little movement with that system. I place shocks outboard of the tires.