I have been shooting a S&W M46 and a Ruger MKII in Bullseye Competition.
I shoot better scores with the M46
I believe it is due to a better trigger, less over travel, better hand placement than the Ruger MKII. My M46 recoils differently and that does not disturb my aim as much as the Ruger.
According to an article I read, Ruger did design the MKI to be used as a Bullseye pistol, and I do believe the Ruger MKI, MkII, and MKIII are inherently accurate pistols. I am regularly out shot by competitors who have added Volquartsen parts or have up graded their Ruger pistols with Volquartsen uppers and bolts. Not that I think that is making the difference.
In terms of accuracy, I believe both pistols are capable of similar accuracy if shot with their favorite ammunition. This is important, you have to test a rimfire with different ammunition to find the brand that shoots best, and for top flight accuracy, it depends on the ammunition lot. Small bore prone shooters often have their rifles lot tested. I am of the opinion that the best machine rest groups with either pistol will be well inside the hold of any human.
There are examples of tight chambers on M41's, that can be cleaned up with a reamer. Ruger factory pistols tend to have larger chambers, because the average shooter is shooting the cheapest ammunition around. Both of these pistols have outstanding, durable, magazines. That is critically important, and the fact you can buy them. Try finding High Standard magazines. High Standard pistol were a popular Bullseye pistol, but they out of production, parts are very expensive.
I do prefer the M41/M46 for clean up. The M41 is so simple, pull the slide back, pull down on the trigger guard, the top comes off. It is far easy to disassemble and reassemble the barrel, chamber, slide, frame.
In terms of reliability, there are examples of both pistols on the firing line that have been used for decades in Bullseye Competition. Keep them clean and oiled, it will take tens of thousands of rounds, before anything goes wrong. The M41 is not finicky at all, it is a highly reliable action. All the shooters I know who are using it are shooting standard velocity ammunition, high velocity has a reputation of beating up the pistol.
Older shooters talk about High Standard pistols, occasionally I see one on the firing line. Magazines are so over priced that owners generally keep them home.
The guy shooting this pistol is a two time Bullseye National Champion
He shot this, ninety rounds composite group, on a 25 yard reduced course. All shots were at 25 yards.
He shot this, with the same pistol, at 50 yards, 25 yards, at CMP Talladega. The ten ring is four inches in diameter at 25 and 50 yards. So, see if you can place ten shots within four inches at fifty yards, standing on your feet, holding your pistol in one hand. I can't. I currently am very happy to keep all my 50 yard shots on the repair center.