Loud isn't the goal, the tone is. The Lexus LFA is a perfect example of this[1]. It's not extremely loud for a car of that caliber, but it's lauded as one of the best sounding cars ever made. Poorly designed exhaust (or no exhaust in the case of your broken muffler) on an otherwise great sounding engine almost always ruins the tone and makes it unbearable to listen to. Bad exhaust on a bad sounding engine is just miserable.
[1] https://www.hotcars.com/heres-why-the-lexus-lfas-screaming-v...