But the .45 AR cannot be used in the Ruger single actions chambered for .45 Colt, or in the Ruger SA cylinders made for .45 ACP as the headspacing is different.
I'm no expert and have never tried it, but I wonder if it is one of those 'a bullet will usually come out the end of the barrel if you try it, but its really not a good idea' compatible cartridges.
No, its not one of those "bullet out the end" situations, as you cannot get the bullet to the barrel in the first place (assuming gun and ammo is in spec).
The .45Auto Rim case rim is TOO THICK to fit in the space between the cylinder face and the recoil shield (frame) of the revolver.
You can open the loading gate, and drop a .45 Auto Rim in to the open .45acp chamber, It will drop in with a nice clunk sound. BUT you cannot rotate the cylinder enough to add another round, as the thick AR rim will bind and jam the gun.
Unless your gun is made, or modified to use .45Auto Rim brass, it simply won't work with it. Rounds may fit in the cylinder but it won't turn (or fully close if its a DA gun not made for it.)
AND, be aware that SOME guns cut for .45ACP with half moon clips will not take .45 Auto Rim brass. Colt & S&W 1917s will (these are the gun the .45AR was made to fit in), but a Webley "cut" to take .45ACP in clips MAY not take AR brass. I have one that won't.
I really have not understood the down loading of great cartridges or cap and ball firearm's.
Simply put, it is for gamesmanship. The rules of cowboy action shooting do not require a set power level, all that matters is a hit on the target and the time it takes. Lighter recoil means faster follow up shots, meaning faster (hopefully winning) time scores.
Cowboy action shooting is also big on period "authentic" if not quite so much on period "correct". In other words, it has to look right, more than "be" right, and also, the guns in the full size rounds are completely useful off the cowboy range with regular full power ammo.
SO, people are getting .45Colt chambered guns, (period authentic) and shooting light loads in them for extra speed playing a game.
TO the OP, I would suggest your friend get a box of .45 Colt Cowboy action loads and try them to see if the recoil is what he wants.
Yes, the .45 Schofield is again available, (thanks to the demands of the cowboy action shooters), but it is as, or more expensive than regular .45 Colt, and is only a "light load" compared to full power .45 Colt loads.
There may be a "cowboy action" load for the .45 Schofield, I don't know. IF there is, then that would probably be the lightest factory load you can shoot in a .45 Colt revolver.
I had heard of the .45 Cowboy Special, but it is a "boutique" round, not in common use, or loaded by and of the major ammo makers. Apparently you can order it, but you won't find it stocked on local dealer shelves, unless (possibly) there is a local demand, such as a cowboy action club in the area.
HANDLOADING is the way to go, for greatest versatility, and once your equipment is paid for, lowest cost per round practical. Its not difficult, offers the ultimate in ammo options (you make whatever load you want) and doesn't have to be terribly expensive to begin.
The down side is, if you screw up, the only person you get to blame is you.
I've been reloading since the early 70s, and reloading the .45 Colt since 1983. Like a lot of us, we learned on our own, from books, magazine articles and trial and error. Those with an experienced local mentor were the really lucky ones.
Today, with the Internet, and TFL you have tons of experience available to answer questions and walk you through the process and give you a huge advantage on the learning curve.
Just beware of information overload!