Hey!
The hat was something we had a lot of discussion around in development, and we really honed in on what we felt were some of Caitlyn's identifying features. By the end of it, we realized that while yes, the hat is something players identify Caitlyn by, but holy hell, she has a huge gun, too. :P
Since her hat's MIA in this skin (okay, maybe not in the recall), we opted to give her darker hair, like her base has, and keep with the big gun reads. We tried a few other hair colors (including lighter blondes and whites), but we didn't want to stray into PROJECT territory, nor remove another semi-defining feature, which as I'd mentioned, is her darker hair color.
It's hard to say what a VU could/would look like, but that said, Pulsefire is an alternate fantasy! Is the hat something you'd want to lose in her base? Having it 'gone forever', so to speak, would that remove some of what you've come to know/love about Caitlyn?