@people complaining that Apple do too much stuff now, that they should focus one fewer products - times have changed. We like our products to work together now more than ever. A big part of that is ecosystems - one company controlling the whole experience.
However, I have little expectation of Apple making a good search engine. Their history of services has been marginally better of late, but still not great. iMessage still won't merge a conversation between one person using two addresses, for example, Maps still doesn't have Street View which is infinitely more useful than the somewhat flashier but totally gimmicky Fly Over, and Geofenced Reminders are useless for time critical things (like getting off your train/bus) because they can't be relied on to pop up in a timely manner. Watching. TV series on Apple TV (iTunes) is a far worse experience than using a service like Netflix - pauses to buffer more often, doesn't automatically scale resolution to cope with bandwidth problems, doesn't skip the credits and/or automatically play the next episode.
Those are just a few examples of how Apple services and in nowhere near the same league as Apple hardware/software products.
Mail's web interface is very nice though, I'll give them that. For a very complicated HTML5 heavy web app, it runs quickly and glitch free in my experience, I'm impressed. Could do wi some more advanced features though - smart search folders for example.
Edit: Oh, and of course they still won't let us combine our old non-iCloud iTunes account with out new iCloud account, forcing many of us to maintain two accounts with Apple.
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Do you find the results as good as Google's, or are you sticking with it for principled reasons? I really wanted to like it, but I just found the results weren't as good. Same problem with Bing, and what's it called, the default search engine in TOR.