It's a common term in the context of complex deals and sales - "that deal has a lot of hair on it" means it's complicated, ugly, and might not work out the way everyone hopes. It's shorthand for a deal that needs extra attention...

I haven't heard it in this context, but in the No Hair Theorem, the eponymous "hair" refers to "other information," so I think it makes sense. There's lots of hidden "hair," or information, at the company?

https://en.wikipedia.org/wiki/No-hair_theorem

It's not a reference to that theorem; it refers to "hairy," used to describe something complicated or ugly.