That is the intent. Thanks to the paladin mount class ability, it's a fairly common type. (And any ACF that gives up the mount can come with a modification for this too.)
Forgot about that; I'll remove that clause then, as it's already in there. I'm also adding the rules for a blackguard's Smite Good.Eh... the DMG has rules for taking more powerful paladin mounts. I suspect that this could lead to cheese of some sort.