Actually, I prefer it not to move with g loads. For me, VLS is a target airspeed, weight sensitive, which gives me minimum V2 and VREF. I don`t want V2 and VREF to change, I just want to fly those speeds, knowing that I will never stall as long as I don`t pull too hard or bank too steeply. Vaprot and Vamax will take care of me if I incur in too high a load factor.
I don`t know how the CRJ works, and I am sure that in that airplane it makes sense that it is load factor sensitive.