I get the feeling investors are going to watch Starship explode and explode while it's being developed without understanding the trial/error, hardware rich, approach SpaceX takes and not like it. That's going to hurt the stock price and therefore hurt the company. Before, when Starship exploded people just pointed and laughed at Musk but SpaceX kept going. For better or for worse it doesn't really bother him, don't forget he got literally laughed out of the room when he proposed a re-usable orbital booster. Now those people actually matter because they'll sell/short and kill the stock price and therefore materially hurt the company. I replied to a sibling about Tesla, remember the shorts nearly killed Tesla before it even had a chance. The technology was there and the concept proven but the shorters almost killed the whole thing. IMO Tesla went public way too early and it almost cost them everything. idk what SpaceX has to gain by going public, are they hurting for cash? Based on the pace of development in Boca Chica it doesn't appear so.

/not a finance or investment expert just my observations and feelings

I expect that the amount of "good influence" institutional shareholders can exert on SpaceX leadership and operations is about zero, and the amount of "bad influence" is more than that. Thus, the only way this can affect SpaceX's leadership is negative.

A big part of how SpaceX did what they did is that they weren't beholden to institutional pressures. They could afford to take major risks. This may change when a pool of investors who don't care about space and just want the line to go up end up being stakeholders.