I'm also a native Angeleno. I drove professionally in the city for years and years. Unless you'd done it hundreds of times (like I have), you'd be surprised at how fast the surface street route to LAX is, compared to going around the long way on the freeways.
The only time we drivers would take the 110 or the 405 to LAX, was when we were starting out in Beverly Hills or Downtown. If we were anywhere near Hollywood or Mid-Wilshire, we'd take Highland, etc. to the airport.
It's entirely plausible to me that Hastings was taking the surface street route to LAX. I can't see any reason why he wouldn't, if he knew his way around.
I’ll meet you at the Hollywood Bowl at 3:00 am some day and we can have a race to LAX.