But the schedule is NOT, which is why you never see the same field of horses in all three races. It's like tennis, only with a tighter scedule. Some players do well at Wimbledon but consistently fail at the US Open. IIRC, Ivan Lendl even skipped Wimbledon one year because he always performed so poorly there. Should that have DQ'd him from the French, where he always kicked ass? What about golfers?
Three distinct races. Not one.
The case that went before the Supreme Court over the golfer who wanted to ride a cart would be an good comparison. He says, that riding a cart didn't make a difference on how he struck the ball...but pro golfers said trucking up and down the golf course over four days certainly took its toll by the fourth day... so, riding a cart gave the golfer an added advantage.
I just think it is the same.
Spread those races out over the summer... then let anyone who wants to enter...enter and I would say that you are right
PS - Lendl's refusal to play in US Open had nothing to do with the timing and everything to do with the surface. Federer has the same problem with clay.