Some electric violins are a bit thinner than acoustics.  The one in the pic doesn't appear to be, though.  Mine is thinner, and also heavier than my acoustic, so it is not really comfortable at all to play my electric without a shoulder rest.  I don't use one with my acoustic violin. 

You might want to look into a taller chinrest, RedViolin.  Chinrests come in many different styles and heights, because violinists do vary in body shapes. The odds of the one that came on the violin being the most perfect one possible for you are really rather small, if you think about it.

I like electric violin, I spend considerably more time on it than I do on the acoustic.  I like them both, but I like playing electric better.  Mostly for the "silent practice" capability.  That way the rest of the household doesn't have to be subjected to me grinding on scales and arpeggios or working on some little run of a few notes over and over to get it sounding the way I want.