Is it fine? I haven't update iPhone 4S with iOS 6 and did iOS 6.0.1?

Thanks

Can you expand a bit? Not sure what's the issue here. You definitely don't need to update if you don't want to. But is that what you wanted to know?

It doesn't matter. By updating to 6.0.1 you get all the major updates from 6, plus the bug fixes of.0.1. There would already be thousands of other people who have skipped the iOS 6 update, only to download 6.0.1 - imagine what a pain it would be for Apple if skipping an update caused major problems, and all the iPhones they would need to fix. It's in their best interests to ensure it's OK to do - and so it is.