The New Orleans Saints have a prominent logo that doesn't have much room to play with the way an animal logo does. It is not as if you can make the helmet look like the Saint logo the way you can make a helmet look like an actual tiger. That being said, the artist has chosen some classy routes for these designs. The top right uses a glossy look to modernize the design. Sometimes that's all a helmet needs.
The bottom left uses an oversized logo, which I think only works with certain logos. This is not one of those logos. The bottom right adds some nice touches with the vertical lines. Sometimes adding unnecessary lines can make the helmet too busy, but in this case it works really well. The lines help frame the logo.