I'll call it Zoe's Button Hat.
Despite the pained smile she's offering, she does like it, and so do I.
For the grown up version, I'll go with bigger cables, not sure what kind yet. I'll also use flatter buttons, so you don't get the ear-antenna effect she's loving here, and I may make the button band wider as well. It's hard to see the band from the hat on her head, but it looks pretty cute in real life.