It is interesting to speculate how these rules would go for really big battles on big tables.
I remember in the late 70s our club played Waterloo and Leipzig using the 1:50 WRG Napoleonic rules (the last set of Napoleonic rules I truly loved - although infatuation was easier in youth). These were very big games over a weekend with many players using every figure we could find on multiple tables spread across a hall.
What I particularly remember was, going into the Waterloo game, we French players were uber confident of victory - just force the British into squares and charge them with infantry or blast them with guns (which worked very well in a normal sized game with a dozen units aside). No stupid Ney in our game.
But after deployment we realised just how wide infantry and cavalry corps were. The idea of achieving combined arms attacks at the tactical level was all but impossible - it would have taken days to intermingle corps to achieve what were "normal" attacks in a small game.
We actually ended up largely following history - a period bombarding the enemy, mass unsupported infantry Corp attacks, and late desperate attacks by the reserve Cav and Guard once we realised we could not delay the Prussians much longer.
Simply by making the game bigger, the rules led us to play in a different (and probably more historical) way.
No idea if Lasalle would scale that way.
Cam