I have never owned an Apple product. Mac, iPod, iPhone, iPad. I've also never used iTunes. So reason other than I never saw the need. My job in defense contracting involved Unix and Windows-based OS systems, so I used similar away from work to keep training myself on the various platforms.
That said, eliminating any investment in Applr would be difficult because I am sure in the stock and bond mutual funds I have owned over the years (and likely now), some portion of it was/is invested in Apple.
I think that a better way is to directly own stock in them and then raise hell at the stockholder meetings, if you have the money.