Vastly is a strong word. Compare his technological superiority to the wildlings to that of the British (who still got their asses kicked regardless) vs. the Zulu at Islandlwana, it’s nothing. He’s got more horses and more armor and more steel, but that’s less of a radical change than you think. Also, they have mammoths and giants.
As for poor unit cohesion – well, the flip side of that is that Stannis had very good unit cohesion and achieved the element of surprise preventing the wildlings from forming shield walls.