Yeah no I get this but the naming convention has become so prolific that anyone working in generative space hears "Style" and you should think "GAN". (I work in generative vision btw)
My point is not that it is technically right, it is that the name is strongly related with the concept now. Such that if you use a style based network and don't name it StyleX that it's odd and might look like you're trying to claim you've done more. Not that there aren't plenty of GANs that are using Karras's code and called something else.
> AdaIN
Yes, StyleGAN (version 1) uses AdaIN but StyleGAN2 (and beyond) doesn't. AdaIN stands for Adaptive Instance Normalization. While they use it in that network, to be clear, they did not invent AdaIN and the technique isn't explicit to style, it's a normalization technique. One that StyleGAN2 modifies because the standard one creates strong and localized spikes in the statistics which results in image artifacts.