I have R1 Ag tires on three tractors, and I just sold my 2007 Case DX45 which was my second tractor with R4 Industrial tires.
I intensely dislike R4 Industrial tires because the sidewalls are so stiff/heavy they give the worst possible ride. They're designed for Skidsteers and Industrial Boom-Lifts. I think they make a compact tractor ride like a buckboard and the tread-pattern effect on MY land and lawn is/was not significantly different from R1 Ag Tires. I think they are a sales gimmick. "Looks cool/aggressive but saves your lawn..." I say not true.
I replaced the DX45 with a Yanmar YM347, which I ordered with... Turf Tires. I had Turfs on an old Ford 1710 years ago. That tractor was second-hand when I bought it, and abused by me on construction sites and in the woods. I've never popped a R3 turf tire. I've punctured R1s and I've rolled R4s right off front rims in a hard turn. The Yanmar assembly plant people (in Georgia) say R3 Turf Tires are getting increasingly popular in the past few years, especially in the Northeast US and Eastern Canada. I know, goes against intuition and common wisdom.
Just presenting an alternate opinion based on my use and experience.