If the doge not relying on elon words anymore on what it could rely ? doge has no usecase and future plans, this coins price will increase only if people are on hype for this coin. So i think it's better to leave this coin for a long time investment since having profits from this coin is really speculative.
Investing on any coin that hype when someone blow it up is a high risk investment, could grant much profits if the investment been done in the right time but could make loss if wrong.
The interesting question is that when Elon's tweet no longer affects Dogecoin, what will happen to the DogeCoin price in the future because seeing the current conditions, only Elon can affect Dogecoin's price in the market. We must consider this if we want to invest in Dogecoin, whether the price of Doge will continue to rise in the future with the hope that the influence of Elon's tweet can still increase the price.