As a suggestion... find the documentary and watch it. Media does have effects intentional or not on society at large. I am not saying I think Apu should be removed and honestly if one read the article posted there's no confirmation he is. But I think it's better to actually engage with the issues some Indian Americans have before so blithely dismissing their concerns out of hand. Really watch the documentary as it's an honest grappling with how stereotypes play out in the culture and affect people. I don't even agree with call the creators conclusions but it made me more aware of a viewpoint and experience I am unfamiliar with. Concluding that everytime these issues come up is just a case of thin skinned sour grapes is shortsighted in my view especially if you haven't actually bothered to hear what others have an issue with precisely.
I haven't seen the documentary but I've read and seen enough discussion about stereotypes in general to know that the level of harmfulness they cause is overblown on a wide scale. I'm not unsympathetic to people's feelings or those who grew up bullied by schoolmates, but bigoted people will continue to exist whether Apu is on TV or not, so the better option is encourage people to ignore that **** and make the changes they want. My main issue about this hole thing isn't even really about Apu, it's about people who aren't talent enough demanding talented people conform to their view of the world. There's no excuses anymore for people not to create what they want, the tools and resources are widely available and the internet gives an opportunity to showcase yourself. If you think you can do better then go out there and do it, have some confidence, find the right people, band together and create something you love.