I think you do him a disservice when you quote it out of context. “You met me at the peak of my career when I seemed to you to be concerned with problems close to the gods.“ doesn’t read like hubris to me, in fact it kind of reads like to opposite. A professor does seem impressive to his students, and Feynman points out its even at the hight of his career which is where he would have appeared the most impressive.

I think that goes well with the encouraging message of finding your place in the world, because you need it to progress.