... but note that Vmcg is determined for prescribed wind component conditions .. if you are playing in the sand pit at light weights (ie low speed schedule) and in strong crosswinds ... all bets are off if the "wrong" side engine fails and you find yourself in the weeds.
The go-after-V1 mantra may need to be revised very quickly if you find yourself without adequate control (ie out of control).
.. in strong crosswind conditions at light weights on a local training exercise .. he who takes off without using speeds for higher weights .. is, indeed, a brave training captain.
Real world Vmcg can increase quite significantly with crosswind.