There is no "bird in hand" it won't happen most of the time.
Then - you are left with all righties after the third spot in the lineup. You have left yourself open to easy relief pitching moves by the opposition - lefties facing batters 1 through 3; righties facing batters 4 through 8 or 9.
Look, I don't think you need to spread the lefties out at 1, 4, and 8. Doesn't have to be extreme. But don't agree that they should hit one, two and three.