It seems to me that the desperation for fame usually does not lead to it,
it just leads to more desperation, then disappointment. The key is to
not ignore the possibility of fame, but to understand it’s reason.

The question can be asked about anything that is pursued for its own
sake. Why stay fit? So you can live a long life in health? Why live a
long life? So you can do what exactly? What will you do with that long
life? What will you do with that fame? What is the reason for reaching
for those things (and many others)?

Pursue the next question after the question. See where that leads.

“Fame usually comes to those who are thinking about something else.” –  Oliver Wendell Holmes, Jr.