These comparisons will be made all over the place, since these designs are always inspiring each other. When I see the new edge logo, I see something that resembles some of the unused branding of the Xbox One and Xbox360, something that resembles the Firefox logo, something that resembles the new design direction of the office suite, something that looks a little like iOS gradients, something that looks a little like the Chrome logo, and so on. I'd say it looks a lot more like old Xbox branding than Firefox branding, though.