The democratic party is actually actively promoting the “President Musk” language for that exact reason. They’re also trying to aim to say it during appearances where Trump is watching
The “President Musk” messaging is by design, at least partially. This week, according to a source with direct knowledge of the matter and another person briefed on it, at senior levels of different Democratic congressional offices, and also within the Democratic National Committee, discussions have been had about having party leaders and elected officials actively portray Musk as effectively Trump’s boss, and to do so during television appearances that the president-elect is likely to see. The idea is that it’s a cost-free opportunity to potentially drive a petty wedge between the notably mercurial and ego-obsessed Trump and his similarly emotive pal Musk, and to sow some chaos in the upper ranks of the Republican Party.
https://www.rollingstone.com/politics/politics-news/president-musk-dems-troll-trump-elon-1235211922/
Rules were unfinished - they were trying to rewrite a second version after Republicans kept blocking it in court. The unfinished rules already had republicans threatening to sue about it. Presumably ran out of time to complete it
He’s still looking at other more narrow areas that are less able for Republicans to make BS challenges on