The majority of LSA types will suffer the same effect. Rod1's machine is a little different because of the comparatively tiny wing and clever flaps.
My Zodiac 601xl has essentially the same dimensions as the Sport Cruiser and yes you do need to slow down in turbulence. In rough turbulence the light pitch forces need care otherwise it can be quite easy to makes things worst.
It would be nice to have a more comfortable ride - but then I would loose the excellent strip performance. As with all things flying there are compromises that have to be made.