Unclenick,
As far as I can determine, the 1:11.25 twist on the M24 was because that's what Boots Obermeyer provided Remington for the M24 trials. But there is more to it than that. At the time the M118SB load was the standard sniper load for the M21 (M14 based sniper rifle), but Remington originally thought the M24 should be in 30-06. If a "new" 30-06 load was going to be developed with the 180gr or 190gr Matchking, the slightly tighter twist makes a lot of sense. But, at the time there wasn't enough of any single lot of 30-06 match loads in the inventory to complete the sniper rifle trials in 30-06, so the rifles with their long action were chambered in 308 and the trials proceeded with M118SB ammunition.
The M118SB load shot fine through the M21 (and M25) sniper rifles with 1:12 twist, so the only logical reason is that either Boots Obermeyer convinced Remington a slightly tighter twist was better, or that Remington was anticipating a longer bullet for the next generation of sniper rifle.
Incidentally the commercial Browning BAR hunting rifle in 300 Win Mag was also considered during the sniper rifle trials, and if you ever get to the museum at Fort Benning it is sometimes on display. As far as I know, that rifle used a 1:10 twist.
Anyways, fast forward to 2009, and people insist that Remington planned the M24 platform to grow because it used the long action and the Army was looking to transition to the M2010 platform with 300 Win Mag as the round. The 1:11.25 twist proved adequate for stabilizing the Mk248 Mod0 load (190gr SMK) and later the Mk248 Mod1 (220gr SMK) so the transition happened without a hitch, and the Army got to purchase Remingtons "Modular Sniper Rifle" (MSR) which gives swap barrel ability so snipers can train on M118LR or Mk316 Mod0 for cheap, then switch to 300 Win Mag or 338 Lapua (or Norma) Magnum if needed.
We just might be in the last two or three decades of serious sniper training. Lots of folks are looking at the DARPA guided bullet tech and "TrackingPoint" scopes and crunching the numbers about whether it is worthwhile to buy gear that anyone can use, or train snipers to shoot long range with gear that not just anyone can use. When the math is firmly on the side of technology, that's when I expect widespread adoption. It's just too hard to justify an 8,000 dollar rifle and a few hundred thousand dollars in training costs when you can buy a 2,000 dollar rifle and 10,000 dollar scope but avoid the additional training costs per shooter.
Jimro