Four stroke specific rear tires (Dunlop) have stiffer sidewalls to manage the torque of a four stroke engine. This was told to me by the dunlop pros at Budds a few years ago when my wife bought me a new rear tire for fathers day. It had a strange designation and I brought it to the track to have the dunlop guys put it on. When I asked what it was, they said it was four stroke specific and relatively rare to get. They said it was an excellent choice for a 250 two stroke, because with the stiffer sidewall, I could use less air pressure and at the same time increase the contact patch. They said it was a trick that the pros use - and it has the same weight as the standard Dunlop rear 739. Didn't help me though, my problem has to do with not rotating the trottle tube far enough for long enough time - nevermind.
Anyway, I have no idea why a four stroke would need a specific front tire. Could be sales BS.