All true Cardinal Ape.
From the above link:
Withdrawal Attempt Modifiers
A force that decides to withdraw must pass a Withdrawal check. The Withdrawal check is modified by:
the existence of an ‘Evade Fight’ Special Order,
the relative size of the opposing forces,
a commanding officer’s Strategic Rating,
the presence of cavalry (both friendly and enemy),
a successful ‘Ambush’ Special Order,
a Leader with a ‘Skirmisher’ Special Ability.
Thus withdrawal attempts are affected by "the presence of cavalry". This doesn't mention anything about attributes.
"(1)Fast elements will do much more damages than slow elements when pursuing."
This would imply that cavalry would do more damage in pursuit. No such statement exists for screeners, however, this is how its done in RL. Slow units can't hope to screen a retreat and then break contact with faster units. I was of the possibly mistaken opinion, that all cavalry were both pursuers and screeners. They didn't need an attribute for the obvious. If this is not the case, then that would be a gaming flaw, IMHO.
Everything that I can find on CW cavalry tactics boils down to five roles:
Reconnaissance and counter-reconnaissance screening
Defensive, delaying actions
Pursuit and harassment of defeated enemy forces
Long-distance raiding against enemy lines of communications, supply depots, railroads, etc.
Recon and counter recon "screening" refers to patrolling around the army to deter enemy patrols. Defensive, delaying actions would essentially be screening as it pertains to the game mechanic under discussion. Cavalrymen would dismount and act as infantry while the actual infantry, artillery and support units moved as quickly as possible along roads in column. Pursuing enemy forces would be ambushed by the dismounted cavalry. Th enemy were forced to deploy from column into slower lines for battle. The cavalry would then mount and escape to set up the next ambush. This continued until the army got away or the pursuers stumbled into a trap. This was still the tactical doctrine of the period. So if it is not happening, then like the Aide-de-camp rule not functioning, something is wrong.
I'm the 51st shade of gray. Eat, pray, Charge!