Whats better a 2 way speaker or a 4 way speaker

I am having an argument with a friend about this. I say fewer drivers and less complicated speakers will make for a purer sound and less kind of distortions. Plus the crossover network having to work extra hard with 4 speakers.

He says the 4 ways will give a fuller sound and fill the room more up. He says the bass extention will be better and will play louder. I told him you could get a sub for the 2 ways to fill in the lower notes. He said that is less accurate than having the speakers built into the cabinet.
I say with fewer speakers there are less distortions and less resonance. I know there is not an easy answer to this question but any Imput would be appreciated.