TDK, when you use OLF, then weight is transferred to the new outside ski at that moment. Its like cutting off one leg of a chair. The skier weighs something and the weight has to go somewhere (unless they unweight of course). It may or may not be a complete weight transfer. It may be gradual. But the process of transferring weight begins there.
The idea behind OLR is that flexing the old outside leg essentially removes weight from it. The weight goes to the other leg. That weight change causes an imbalance which initiates the CoM moving across.
Both ILE and OLR provide essentially the same kind of outcome, the only difference is that one focuses on flexing the old outside leg to cause the imbalance and the other focuses on a very slight extension of the old inside leg to create imbalance.