The hair color actually controls your shot power. The progression is grey < green < blue < purple < gold, which may or may not sound familiar to you!
Regarding the barber, I've had mixed tester feedback-- Some actually enjoy the chaos of not being sure when the barber will appear next. Either way, in the post-jam version I definitely intend to take measures to prevent these misclicks.
In any case, I'm glad you enjoyed, and thank you for the feedback!