This is okay. I liked the idea at first, but the execution was a bit lacking.
The entire thing about snake is that it moves on its own. But I later realised that you made this way so you could wait on the switch timer so that the other head didnt run out of body. Thats clever, but counterintuitive.
The artstyle is really good, and I notieced that this is a Unity Premium game, which is something you dont see much in jam games apart from large teams.
A v2 should focus on explaining the concept of this. And maybe you should turn it into a puzzler somehow, since it's kinda hard seeing it as an arcade game.
Overall, I would say 3/5, its good, and fits the theme, but can be improved in so many ways.