I don't know that DiMaggio is far ahead of other Yankees stats-wise. He missed 3 years to military service. With those three years, he might be. He is viewed a little oddly by many. Mr. Coffee, Marilyn Monroe, the song, etc, etc. Perhaps a bit too "Hollywood" for the era. And, I guess, he's perceived as having a bit of a prickly personality.
Mantle is viewed as a good ol' boy hero who probably limited himself with his partying. Like Ruth, he's given a bit of a pass for that because he still cranked out huge numbers. Definitely not a prickly personality.
FWIW, Rivera was more responsible than anyone for the Yanks run of 4 WS in 5 years. He certainly didn't "carry" them to the playoffs but was ridiculous once they got there. Better than regular season against the best. Jeter was the same guy, which is still an accomplishment, but didn't make nearly the dent as Rivera.