Larry, the main advantage is having an original-appearing engine compartment and not having to modify motor mounts, bellhousing, driveshaft, etc. An added advantage is being able to outrun/outpull all your buddies with a "stock-appearing" engine that doesn't need to turn high RPM's to do it. Stroker engines put the power where it does some good- - - - -low and midrange RPM's. The stovebolt cylinder head design pretty much makes high revs impossible, so putting a grass-cutter stroker in there makes a lot more sense.
The round track racers have a saying- - - - -"Horsepower is good to brag about, but torque wins races!"
Jerry