The optics of Musk addressing the room while Trump is disengaged are bad enough without simply making up things that are not there.
"Why is Elon Musk acting as the leader while Trump is disengaged" is a hard question for a reasonable person to deal with.
Saying "lol look at Trump sleeping" when that's obviously not what is happening, makes you come off as unserious and casts doubt on anything you say in the future.
Spreading misleading lies is not the way to engage with the world. (To those of you that are people and not disinformation bots/agents)