My photos always turn out sharper with SR off because I don't rely on SR to compensate but rather rely on better camera settings for the shot I'm after.
Yes there's a time where SR is handy, but with practice and skill [and fast lenses] you just don't need it 99% of the time.
SR is really only for use with still [static] subjects where lighting isn't allowing you to set the shutter speed at least equiv' to the focal length, it's never going to help when trying to capture moving objects, you're only going to freeze moving objects using the right combination of shutter speed, Aperture and ISO, not with SR - SR can make blurring much worse in this scenario.
Tripod mounted cameras can suffer from a feedback loop if SR is left on. This almost guarantees softer blurry images.
Thing is, SR is only a 'reduction' system, not a cancelling system and the way it does that is to move (jiggle) the mechanism around inside the camera - iow: There's
still movement because the SR system moving.
That's my thoughts on SR in any case