Cliff Booth vs Tyler Durden

I just watched Once Upon a Time in Hollywood and really enjoyed the film; reading about some interpretations after, some say Cliff hallucinated the entire ending where he was the badass hero who killed the Manson crew, and also earlier in the movie when he allegedly beat up Bruce Lee. That got me to thinking, aside from the obvious parallel that Pitt played both, does anyone else see a similarity to Tyler Durden? Both have similar fashion senses, act in the strong silent type sort of way. Not a 1:1 comparison but given the nature of Tyler being completely fake, and Cliff possibly faking all these events.