Dogecoin will stay just like Ethereum. Dogecoin is the king of meme coins, just like Ethereum when there are a lot of other projects that claim "Ethereum killers" and failed after.
So overall, dogecoin will stay even though there are a lot of other meme coins that are copying or the following dogecoin.
Dogecoin is one of oldest altcoins that is still surviving in 2022. That demonstrate its survival ability in cryptocurrency market.
If people want to find a most important reason for its survival, that is its algorithm: Proof of Work. Without Proof of Work, Dogecoin should be dead many years ago. From foundation of Proof of Work algorithm, Dogecoin survives because of strong communities and many platforms accept Dogecoin to use for their customers.
If there is demand, there is supply for it, there is adoption for it. Dogecoin can not die.
About Elon Musk, before, Elon Musk is still not around that using dogecoin for his drama, dogecoin is already here and already on the top as a meme coin.
Dogecoin has many years before the appearance and engagement of Elon Musk in Dogecoin. Without Elon Musk, bases from history of Dogecoin, it will still be fine.
See how many years from 2013 to 2022, Dogecoin appears in top altcoins?
It's five years but because screenshots are for top 15-16 altcoins. If checking for lower ranks like top 20 to top 50, Dogecoin is always in top lists.
Don't buy altcoins because they are top altcoins