Hmmm I never noticed it looks like low-texture. I thought it's meant to be like this because that's the mask or the helm and how detailed a chocobo's helm can look?

I feel my chocobo looks good enough on the texture aspect, but from the front and close up, my chocobo also looks just like in your screenshot.

Have you seen other people's chocobo screenshot? I mean, I am curious what made you think your chocobo texture looks low.