Just to be clear I wasn't saying "don't use your mirrors". I missed out all the stuff that was irellevant to the discussion like using your mirrors or starting the engine.
Also, it's a cute mnemonic device to help people remember to drive better, but as my driving instructor said, you might need to use "mirror, signal, mirror manouvre" because the mirror is to check what's going on, the indicator is to indicate intent, but you might not be able to manouvre immediately so you might need to check what's going on around you again before you actually make your move.
People who indiate as they are making their manouvre are a PITA and almost universally despised. Almost as much as people who don't use their indicators at all.
There's a few issues with the "Technically you shouldn't need the indicator" world you describe. First, you assume that there's flawless information available to you. You know where everyone and everything is and you've not missed anything. Indicators give people around you a chance to see what you're up to even if you don't know they are there, or don't think they are relevant to you.
Second, you're describing a world in which you always have space and time to make a manoeuvre without impacting others around you. My reality of driving round the North West of England is lots of cars in a small space. People who don't use their indicators are a PITA. It's just selfish. That sudden deceleration for a left turn or sitting in the middle of the road, are you turning right, or have you broken down? Using an inicator is just polite and helps other people drive more comfortably.
Third, it helps people plan. This is linked to the other two things, but I think it's important enough to have as a separate point. Have you ever seen pedestrians look at you/your indicators to work out wether they should cross a road? It happens when driving around town. One particular case I remember, I wanted to turn left, I was driving along and turned my indicator on. Guy about to cross the road, looks over his shoulder, sees my indicator and stops. I make my turn, he crosses the road. Smooth, organised, orderly. Sure, if he had just walked out I would have stopped in plenty of time, but on the main road, with people behind me wondering what I was doing.