This will actually not relieve market prices. You can take a look our current situation. The new FA rules that have taken higher salary players out of the FA pool has drastically increased inflation across the BB economy.
If I am a top team with a bank account full of money, if there are no high TSP/salary players on the TL then I am going to have to spend that money on mid-level TSP/salary players and trainees which will drastically inflate the price of those mid-level player/trainees which is exactly what we have right now with typical DIII/DIV starters going for well over a million + dollars.