.. on the contrary, the MTOW case generally is not limiting ... now consider the min weight Vmcg-limited case ... and you are off the runway in all likelihood with a decent crosswind.
Depending on the aircraft the effect of wind on the "real" Vmcg on the day can be in excess of 1kt/kt. If you have, say, a 35 kt crosswind from the "wrong" side ... you are in for an interesting ride. The only option may well be to reject above V1 to stay on the runway.
The main reason we like to see this topic come up is to cause folk to consider the options before pushing up the levers ... do we have the option of using a higher speed schedule ... can we delay until the main wind goes through etc ...