I don't think the max is inherently more accurate then the magnum, I've never heard that assertion. The preference for the max is that in a 10" contender, it offers tremendous performance, 200 gr cast @ 1800+ fps, and more speed still with lighter bullets, that is why the max is so favored, lots of whomp in the short tube.
Some factory 357 max barrels have been very accurate. I could never get my factory 357 mag barrel to group worth a hoot, and I tried many different bullets and loads, only one load did better then 1" at 25 yds. A few aftermarket companies offer re-chambering of mag barrels to make up for the sloppy factory chamber. I would have had my mag re-chambered, but ended up taking advantage of a Virgin Valley shorty sale, and got a stainless 357 max for what I sold my 357 mag and leupold scope.
My 357 max VV will put most any load into 1" at 50 yds, and one load was one ragged hole @ 50 yds.