If you discuss this with the stylist prior to the haircut and tell them you know what I'm about to tell you, perhaps he/she will be more self conscious of avoiding this.
Our hair can behave differently on each side for these reasons, direction of hair growth, sleeping on one side more than other, and the fact that the stylist holds the hair differently on each side when they cut it. We cannot avoid the first two, however, the stylist can do what he/she can to remedy this situation and with careful approach, the hair can be cut according to the hair growth direction and in the manner to have it conform to the direction you want it styled in and how it will lie. So yes, you CAN have it cut to behave and style they way you want it. Just make sure you communicate this to the one cutting it!
