Would make no sense whatsoever not to run him.
He's clearly the best of the boys this year. If it weren't for the filly entering the shortest of the Triple Crown races we would likely be looking at the first Triple Crown winner in over a quarter of a century.
Not run him? Silly.
Winning two legs of the Triple Crown and being a close second in the third is worth mucho buckos to the breeders.
They'd be outright crazy not to run him (barring injury of course).