No need to head to a Serie L at double the price, this one do the same job better view for half the cost!
sharpness and contrast are very good. very little chromatic aberration and see no stabilizer to the top (I manage to get off without too much trouble a 1 / 30s at 200mm freehand)
IF you have necessitated a stabilized 70-200, go for it! otherwise, the normal version will be good enough;)