The run is fairly close but the P31 car is able to pull a couple cars up top by the half mile marker. Yes, this P31 care is pretty strong as illustrated by how it beat an F10 M5 and well worth the money for the stronger engine internals alone.
BenzBoost has seen stock P31 cars versus tuned C63 AMG races before and they were quite even. It seems the tune on this particular C63 AMG is not as aggressive as other tunes as when combined with filters and a cat delete things should be in the favor of the modified C63 ever so slightly. The tune is from GI Motorsports apparently who likely had the ECU Tuning Group do the work. Video below.