The thought had not even crossed my mind but not that you mention it, TrumpMix does have a certain ring to it 
Why not? A man launched a meme coin from his position as president and used his influence to promote it and no doubt make a lot of money - if someone whispered this idea to him I think he might show interest

You guys really made my day

This might be funny to read but that's actually possible if we keep in mind that insanity of the President. He is narcissist, he might create something similar to ordinals and will have his platform where every coin that went through TrumpMix will be marked with Trump's logo and he will promote it like it's cool. He might start the campaign
Let's make every Bitcoin go through TrumpMix, let's everyone hold Trump badge Bitcoins.
I wouldn't feel surprised if he really does what I said. The guy launched Trump fragrance like he was Tom Ford.