If you have these two upgrades on a spearman unit is this possible:
Reveal an initiative 8, speed 4 march and turn it -no penalty - using the marching cornicen. Then use the Lance Corporal to make the straight charge modifier white. That would get you a speed 4, turned charge.
Or could you only use a turned charge in this case? (In which case you would still get a speed 3 turned charge.)