If you Google "Phar Lap's Heart" you'll see some fascinating sites, including one featuring photos of his heart, which was removed and is on display in Australia. His weighed 13.6 lbs, not as massive as SECRETARIAT's, but still nearly twice the standard.
Troods, you might know what such tests as Bar mentions cost? I would imagine that they'd be quite expensive in terms of not just taking the horse to the equipment centre, but in lab staff time, too. What would you think? Around £1,000, or considerably more?
The point, though, to take out of the Triptych's interesting article on SECRETARIAT is in the remarks made by its author: that even if you find a horse with a bigger heart (and one that passes the VO2 tests perfectly), it won't mean a tap if it's made badly or just hasn't got the competitive ability. I can't stress enough how conformation will determine the horse's action, and how that can be an indicator of possible future ills like sore feet, concussive injury, tendon and ligament tears and strains, stress fractures, to total breakdown.
The usual 'good' angle of the shoulder is around 45 degrees and the pasterns should be pretty close in matching the angle. Too-upright shoulders can result in what is called ventroflexion, which is where the back hollows out and the head comes up too high. This impacts on respiration, so that the horse will not breathe well. You may then get a trainer using a tongue-tie on the animal in the hope that it will breathe better that way, but it will be of little avail as the horse is literally not made right for the job.
You rarely get a too-sloping shoulder, but this sometimes causes such a horse to over-reach - i.e. the toe of the hind foot hits the back of the front foot or leg. (This also happens where the horse has landed steeply and hasn't yet managed to get its front feet out of the ground before the back ones follow; it's also common in very soft going, where the horse is swinging the hindlegs forward before the front feet have managed to pull themselves out of the mud. You often see front shoes ripped off this way, but it doesn't mean the horse's shoulder is wrong - in these cases, it's external factors.)
The desirability for a 'good' shoulder is the need for the scapula to be able to rotate freely at the gallop and for all front joints to be able to fold under the horse well if it is jumping. If the scapula is too upright, it won't rotate freely as its axis is limited, and this in turn will result in the front legs not folding optimally during the jump phase. In other words, they'll probably dangle a bit from the knee down - not really what you want in a chaser. However, an upright shoulder is no bar to excellence in the variety of competitive American 'walking horses' - in fact, breeders like them as the horses' action then becomes high-kneed and, while there is strong and visible ventroflexion, this is seen as part of the breeds' standard movement. It's just not something you would want for racing.