Would the Lakers play home games with Clippers banners in the rafters? (Of course, the Clips don't have any banner-worthy players in their dreadful history). Certainly not. The Clippers pay Doc to bring a sense of pride and winning culture to that woeful organization, and this is how he does it.
I expect the Clips to rule LA for the rest of this decade, unless the Lakers sign Lebron or luck out with a high pick that becomes a Top 5 player.