You may need to do your own research to decide what counts as "natural" enough to you. "Natural" is more of a quality and isn't set in stone. Find recordings of drums you like. If you can get a recording of the drums separate, bring it into Live. Put a spectrum analyzer on it. Look at the spectrum. Notice the frequency ranges according to drum sound - snare, kick, etc. Pay attention to the reverb. Likely there's some degree of room verb in the recording and of varying amount depending on drum sound. You base your decisions ultimately on what you like but in general, "natural" means variation. Variation in pitch, velocity and subtle reverb qualities. A good reverb may make a large difference.
    estevan carlos benson 2 years ago