Yes, and I have no problem with that. I don't wish Apple to fail - I just don't want it to dominate the market alone.
We have far more of a problem with Google in that regard, who do absolutely dominate search, and have clearly stated their wish to unseat Apple in order to have total dominance of mobile too.
As for Google, I'm less worried because there is much less lock-in, both in search and with an OS that is mostly open sourced.
There is no alternative URL to click on because a competitive global search engine would cost billions of dollars to build, the space is deeply encumbered by Google's giant patent portfolio, and the information used to build the index is to a great extent no longer available on the web.
That's why Bing is a distant second and there are no other players.