Bandini is Fante's Chinaski.
I did actually read Fante before Buk. Ask the Dust was awesome. I've also read the road to los angeles, but Full of Life was my first and was so real, for lack of a better word.
Then my boyfriend introduced me to Bukowski and explained how Buk would go to the library and no books moved him until he found Fante and he immersed himself in his works.
I just got a few Celine books. I'm reading Factotum now though, so that's next. It all appeals to my testosterone side I suppose.
But yes, if you know Buk, you should know Fante - you can tell where he was inspired by fante's style. It's really refreshing to read these after some of the rubbish and so called classics i've read.