All of the club level rooms are "deluxe" size/amenities. The "standard" club level rooms are bigger than the "standard" nonclub rooms. You also have access to the concierge lounge and can sign up to do the sunrise or sunset safaris, which you can't do any other way.
If I wasn't doing the safari, I'd say skip the club level. AKL has wonderful views, etc., but the concierge services we had during our stay were the worst at an CL hotel I've ever been in.