Nope Jim, it's exactly what Shoney just posted above you. It's a .45 Auto/.45 ACP loaded to a higher overall max pressure.
We had a recent thread that discussed +P loads. Of the four that you mentioned (.38 Special +P, 9mm +P, 9mm +P+, and .45 Auto +P), one of them is not an officially recognized load built to SAAMI industry standards. That's the 9mm +P+. Some companies have referenced it, and some ammo makers have stamped it on their boxes and brass too, but it's not built to a recognized standard.
FWIW, I've also seen some .38 Special brass that is also stamped +p+.
For grubbylabs, one of the way we always check to make sure that our brass is good regardless of the head stamp is to punch up Starline and see what they say. They'll tell you right on their page that their 9mm +P brass is exactly the same stuff as their 9mm brass, but with a different head stamp.