No. It’s using what you already have. Emblems dont change. Reverse the color scheme. Very simple. All you need is a new red helmet, but it’s the same as the white one, just color reversal.
For what it's worth, the concept of the helmet you are describing exists, despite us never actually wearing it. You can purchase it in a number of places, including the NCAA Store.I agree that red helmets would be an interesting twist. In the modern era, we've only attempted red helmets once and that was in 2014. (Nebraska had red helmets back pre-1960.) The issue with the 2014 helmets is they opted for matte red and the shades didn't match up with the jersey (helmets almost looked orange on TV). I typically like matte helmets (big fan of matte black), but can't have the colors not line up.
