Clever. Far as I know, the answer is "No", and the reasoning is that XP costs aren't transfered (the familiar's XP isn't typically tracked either) and to my knowledge it is the caster, not the familiar, which needs to handle components regardless who is actually casting.
Yeah, looking at Share Spells, it looks like the caster is the only one casting, and the spell is basically chained on two targets, you and your familiar.
So you pay the cost, and double the effect. Clever indeed.