Once of the biggest problems with clay soils is their saturation and later drying out which cause the movement. Stones provide a mulching layer that reduces drying and allows moisture to pass through. Depending on the situation they should retard evaporation loss and minimise excessive drying. If anything stones should give a more stable outcome, I'm not sure I would be to keen on concrete all round as this most likely will reduce recharging of the clay during winter however i'm sure others will have a view.