I think one of the issues with the Skinner's niche is that the MC and the players must really buy into it. If we're not all excited to celebrate their unique beauty (whatever that may be), they way we get excited every time we see the Skinner character in a TV show appear on-screen, it's a little less obvious. So be sure to ask questions and bring that out! The moves do a lot of it, sure, but cultivate that mindset from the start, as well.
Consider a few things:
1. In Apocalypse World, everyone is a threat. Only in very late play can you make someone an "ally", and it doesn't happen often. That's a really rare and special occasion, and memorable due to its rarity.
The Skinner can do it from the very start, with her moves! Sure, they're temporary allies, but having Hypnotic hold on a handful of key people around (including the PCs!) gives you sway over people that no other playbook can have. In the mechanical landscape of AW, that's an incredible outlier!
2. Although all the playbooks are intended to be "unique" archetypes, none (in my opinion) are as much so as the Skinner. Sure, you're the Hardholder... but there are other hardholders out there. Gunlugger? You may be the baddest, but there are others everywhere. Even the Brainer... there are probably some other wackos out there.
But the Skinner... to a far greater extent, you are truly unique.
I've yet to see a game where there is an NPC who could even aspire to be a Skinner-type walking around, and it wouldn't surprise me if it's never happened at all.
Other characters HAVE things of value - followers, equipment, skills, knowledge.
You ARE something of value: very likely the last remnant of true beauty in this world. (And that means that, as a player, you have a lot of say in *what beauty means in the apocalypse*, which is a significant thing indeed.)
In Apocalypse World, everyone is out to get you. They take what they can, hurt who they must, and only do something for you if you threaten or bribe them.
But a Skinner? A Skinner breaks that paradigm altogether.
There is no other playbook that will simply inspire people to walk up to you and offer you... anything, everything.
That's not how Apocalypse World is for everyone else. You are a magnet, you are unique, you stand for everything that was lost and everything that might once again be.