I don't think that Elon is losing grip of Twitter, on the contrary, he bought it already and now has full control of it. Doge has existed even before Elon put a hype of it, and so it will continue to exist even if Elon will not support it.
The market is terrible continue, I do agree, and so is the other coins as well including Bitcoin. And so when we had another bull run, for sure Doge could be one coin that will enjoy the support again and maybe reaches new all time high, with or without Elon hyping it.
Exactly. Elon Musk remains as the owner of Twitter, even if behind the curtains, therefore his influence will be still there all the time. If he wants to push a new DOGE hype he will have all the necessary tools to do it. And even if he didn't have Twitter, he could continue endorsing DOGE through his social medias, like he has always done since much before all the talk about purchasing Twitter has started.
What we see regards DOGE's price is more related to the whole bearish season every cryptocurrencies are facing right now. Once the negative trend in crypto market is over, we are going many currencies rising together, and I believe DOGE is one of them. Despite being a memecoin, it's also a classic coin. That is the difference between DOGE and its memecoins pairs.