I'm confused here, since when does any form of masculinity include emotional flailing, gossiping, attention seeking, virtue signalling, manipulation, petty grievances, etc?
All of these is just what we call being overcome with passion, fearlessly spreading truth, daring to step into the public arena, demonstrating personal values, cunning political manoeuvring and sticking up for yourself/revenge if we find them pathetic. The point of toxic masculinity is that the things we valorize as "traditionally male" (e.g. famously, being a rock without emotions except maybe revenge, lust and rage) are not healthy ways of dealing with bad things.
Whether he does it consciously or not, if your model of musk is a Macho whose "honor" has been impinged (by himself, but also public snipes at e.g. his private jet while posing as the man to save the climate with Tesla) and who's pettily trying to pettily re-assert his "manliness" then you've been getting a lot of ROI out of the predictions that has allowed you so far.
What I listed are actually toxic feminine behaviors. That term doesn't get used a lot because people found a hammer and think everything's a nail.
Toxic masculinity is manifested through pathological subduing of emotions, mindless stubbornness, excessive pride, inappropriate violence, misogyny, and homophobia.
If you want to apply the concept of toxic masculinity to someone it would be more appropriate for Bezos or Andrew Tate. Musk isn't behaving like that at all, and I don't like your casual misapplication of it because I can see that it's simply politically easy, misandrist, and above all, wrong.
Every social construct with show inconsistency under intense scrutiny. Humans are not consistent and masculinity has as many expressions as there are men. That's not the point.