This didn't just start now, for a long time investors and traders have used tweets and actions of people who have some kind of influence on the market to make their short term predictions. The thing is, this is usually a short term strategy and as time goes on, those people no longer have as much influence as they did, for example, Elon Musk. Thus traders still use technical and fundamental analysis, particularly when you are looking at the long term.
The importance of using technical and fundamental analysis in trading has actually never gone, it’s only the people who tried to adopt additional strategy that they think will work more on their trades effectively. That is by seeing those tweets made by VIPs, and seeing the current news and trends that will leave an impact to the trading market. But all these things will only create a short term effect.
If you want to focus on long term approach with trading, stick with its fundamental and technical analysis, you will never go wrong with your trades, as long as you also have patience to do that.