It's fair to say that Boeing's status within their industries enabled them to slide down the slippery slope of quality and reliability. SpaceX does seem to become more dominant over time.
But to actually go down that path also requires a culture of management by non-engineers (MBAs have a bad rep for a reason). SpaceX, at least for now, has a strong engineering culture and does not seem at risk of becoming one.
In other words, status is necessary but not sufficient for enshittification.
I don't see many incentives in the current American corporate culture to keep a company leading in technical proficiency to maintain that status after they acquire the market they are looking for.
All the incentives are tilted over financial engineering rather than actual product/hard engineering, after the initial lift-off from technical prowess there's very little embedded in the capital system to keep that corporate culture instead of derailing it into financial juggling.
But to actually go down that path also requires a culture of management by non-engineers (MBAs have a bad rep for a reason). SpaceX, at least for now, has a strong engineering culture and does not seem at risk of becoming one.
In other words, status is necessary but not sufficient for enshittification.