We have that already, you genius.
So what's so special about the wood on the SMS?
i am talking about 2h not poles, and if you mean bastards and longswords... well those two weapons could be wielded 1h by those of adequate strenght. however if someone wants to use two handed sword on horseback, then we might as well use danish greatswords, and flamberges 1h along with shield.
by wood on sms, i mean that the blade itself is actally shorter and that one third of the weapon is made of lighter wood, rather than steel.