It is indeed a market manipulation that Elon has done. Not just with bitcoin but also with dogecoin. He never indeed spoke about his dogecoin holding but I assume he must have invested few millions personally in dogecoin and then manipulated the price through his immensely popular twitter handle and booked a good amount of profit.
If the Financial Fraud Investigation Agency starts an investigation around such allegation, he will find that true!
These are all wild guesses. We don't know if Musk really owns DOGE, so it's difficult to say that this is a deliberate market manipulation.