Possible, and availability is usually pretty good -- especially if you can be flexible +/- a day or two.
Recommended? Yes, based on personal LH experience and everything I've heard/read about LX, but note skywalkerLAX's point about arrivals at LAX's TBIT often being more stressful and time-consuming than arriving with UA at T6/7.
Thanks, I'll look into that option then I think