Excellent idea, and I personally like the idea of the momument/tile to be in the same exact spot as the battle, instead of choosing it. Of course, that's just one man's opinion. It could end up being a very cool feature if a map features nature chokepoints and these epic battles are taking place around the same few tiles.
I'm more open to the tile idea, rather than the monument as I'd like to think my troops have a sense of history and don't need some marker just to fire them up. That and if a monument got descrated by the enemy, I would think that anger my troops and make them fight harder, instead of losing their advantages.
If morale was a big feature of this game (and I hope it is), I think that should be the most likely bonus from these battle tiles. I can understand how it would give troops a better morale to be fighting on the spot of some past battle, but how is that going to make them shoot arrows more accurately?