No one knows who the son is. Even in Wonderland. The only clue we've got is 'Al'. The actual Caterpillar definitely has the good stuff.

[And Cat's standing up to push his chair over to Frederick who's immediately sitting down]

Well, you've met one, already. Very timely young gentleman. Probably never paid him much mind but he's surprisingly more attentive than any of you. [A beat] Mostly.

So the White Rabbit? [Frederick rose an eyebrow from the desk chair, sounding more calm, closer to the tired tone he usually held already.]

Yup. White Rabbit.