Sig lists approved ammo
right on their website. Springfield has this note in their
manual (pdf) for the 1911-A1 Ultra Compact:
Note: 1911-A1 Ultra-Compact Pistols are designed to use standard pressure ball ammo and self defense loads. +P ammunition is not recommended in pistols shorter than 5 inches. Use only clean, dry, original, high-quality, commercially manufactured ammunition.
The
XD manual (pdf) does not mention +P ammunition, but it does have this note:
Use only fresh factory ammunition such as Winchester®, Remington®, or Federal®. DO NOT use handloads, reloads, or remanufactured ammunition in your Springfield firearm. Only shoot cartridges of the caliber engraved on the barrel. DO NOT use shot cartridges or any ammunition which is loaded with a frangible projectile or any ultralight weight projectile at elevated velocities, or any wooden or plastic projectile.
You could infer that to mean that it's OK to use +P, since they don't expressly forbid it as they do for the 1911-A1, but you could also infer that to mean that you should not use +P because they haven't expressly approved it. I would contact Springfield and ask them for the official policy.