Trump's main goal is to make the United States the center of cryptocurrencies and become a leader in this field, he is interested in the crypto industry, not just bitcoin. I even believe he would probably pay more attention to altcoins than bitcoin, he is not a bitcoin maximalist.
Elon in particular would try to make the government do transactions in Dogecoin (that coin that doesn't even get any active development), if only for the memes.
I also don't think it's the case with Trump - he wants to follow the biggest and the coin with the most prestige out there - and make it "US-made".
He wants the US to be ahead of the world, and Bitcoin seems like the way to do it, simply because it's the biggest and shiniest for him, in my opinion.