Fame is important to people who need it to make a living. They need the notice of buyers and promoters for their Art or writings, and many other things that enrich the world.
So, Fame has it's place in Human Endeavor.
Also, Fame should never be confused with Infamy. That's a whole "other Horse..." and one that nobody should seek to "ride" into Notice. Unfortunately, Infamy seems to be the preferred "seat" for far too many unworthy yet powerful monsters.
Mr. Z says he's seen this before.. But I haven't.. so I'm posting it as something that fits right into the discussion of the Importance of Fame