To be honest, the Lakers haven’t had much of a culture since the Kobe/Pau years. Once Dwight left in free agency, they pretty much decided to milk the cash cow known as Kobes last few seasons for all it was worth, while pretty much bringing in a bunch of different guys every year on one year deals. Yeah, they loaded up on top draft picks, but outside of Kobe, there was no constant, there was no stability, no vets to stick around to develop that culture and identity.
Carry over to the Lebron years, they pretty much gutted their young core they tanked to get for AD (won a title out of it, so something came out of it) and pretty much revamped almost the entire roster outside of Lebron and AD in a panic after losing in the first round to Phoenix in a season where their issues were much more injury related than anything. Now they’re left with a flawed roster and lame duck coach and more dysfunction this offseason.
And in terms of building a culture and identity. Jeanie and company value image and perception more than anything. Let’s just say after this season in their eyes they saw the writing on the wall and felt like there was no realistic path to winning another title with a team centered around Lebron and AD. They would still try to extend Lebron and be fine with Rob making short term roster moves to appease Lebron rather than make the unpopular decision to tear it down and try to get pieces to rebuild and be an attractive destination for future top talent largely due to their obsession with image and having to have a superstar on the roster at all costs.