For some reason the snare sounds unnatural.

The Limiter is so that the levels do not jump to the clipping zone.
So, either cut the master volume a little (0.4dB) or place a limiter that prevents the track from going to that zone. :)


Edit:
One thing that you can do is, check the equalization of the Snare drum.
The snare has the tendency to sound “plastic” when you boost the 1600-1700 Hz.
By cutting those frequencies you can enhance the sound of the snare.
Hope that helps.