Savage makes a singe shot MAGNUM target action specifically for the 338LM
The Savage Magnum target action is bigger than their standard target action.
But Savage also chambers the 338LM in the 111 Long range hunter which is a Large Shank action, same size as their standard target action and it's a repeater.
It's the Savage Small Shank actions that don't work well with WSM's RUM's RSAUM's 338 LM and the like.
Savage chambers several rifles in the long action large shank. The 110 BA (Stealth, Evoluton), 110 FCP, 111 long range hunter, are all 338 repeaters. The internet opinions all seem to lean toward those action being different than their other long actions, whether physically different or a different heat treatment. I have yet to read anything conclusive either way.
I have looked at the 112 magnum target, with my primary concern being finding a stock. Why run a long action when I am going to shoot it single shot anyway, while simultaneously severely limiting stock options, as far as I have found.
What I would like to see is some actual testing to see if it actually works. There was a post I read somewhere, I think either Kirby Allen or Shawn Carlock, where they chambered a 700 in 338, shot it a little too hot and actually measured the lower lug setback. This is a lot more convincing to me than "I wouldn't do it." I believe he went into some detail about CrMo being better than SS because it was a little more springy maybe. I will try to find the article.
I guess the whole reason for my question pertaining to the OP was based on if a Rem single shot short action might be suitable, where a long action repeater seems definitely not.