In general I do not agree with "great man" theories, although they make wonderful tales. The phenomenon you refer to: that fame gathers the famous in its clutches, I think more represents that you haven't been famous yet and thus speak too trivially of it, and the relationship of person, soul, persona and fame.
Really, you don’t know whether or to what degree I might or might not have been “famous.” Remember, your logic is entirely dependent on your premise. But thanks for the good will inherent in your assumption that I have never been stricken with fame.
Regardless of whether or not you have any information about my personal life, I would say it’s very easily understood logically and very widely recognized empirically that fame cultivates and expands narcissistic traits.
If you have the opportunity to observe “famous” people up close, focus carefully on their behavior.
And if you ever have the chance to choose between a life of fame and one of anonimity, for your own sake choose the latter.