I have read that when a flying unit pursues an enemy into a wood feature, they are allowed to stop at the edge and thus avoid being destroyed. Does this stopping at the edge of a wood feature apply for any other units? Chariots especially seem like they should because of the damage they take when travelling through the woods.

I have also read that pursuers and fleers ignore difficult terrain after breaking from a round of combat. Does this rule also apply during a flee charge reaction and determining whether the enemy is caught?