My salesman is also an actual farmer since childhood. He isn't a big fan of the R14s but did make the point about the stiffer sidewalls and wider tread/more stability but shallower lugs.R-14's (and loaded) on my LX2610. The only time I mess up my yard if if I turn too sharply or forget to take it out of 4x4 after doing something in the back where lawn is not an issue. They will dig a hole quick if you spin them, but that's no different from R1's. Just recognize that if you're spinning, you're not doing anything, and you'll solve most of your getting stuck problems. The bars aren't as tall as Ag tires, but there's more of them in a pattern that makes them bite a lot better. The stiffer sidewall doesn't hurt either. and also makes the tractor VERY stable.
He isn't pushing one over the other; most of the advice I have gathered here and elsewhere puts the R14s at about 70/30ish over the R1s.