I agree in principle but it will not happen.
The only reason we have unlimited tournaments are to encourage players to play as many times as possible = increased ball usage.
What you are suggesting would limit this.
I usually play most unlimited tournaments once, perhaps twice if I like the course - some players play them many many times and have a ton of restarts - and effectively even if they win the tournament, the poor prize amount actually means a net loss.
Even the VUS Open Qualifier I played only 3 times - perhaps if I played it 20-30 times I may have snuck in, But the net gain would probably be negligible for the ball usage IMO.