I fly into LAX alot and it's normal to land on 24R and depart on 24L (which is longer, hence used for departures). After a long Pacific crossing everybody is dead tired and crossing that 'live' runway requires not only good ears but good situation awareness as to who is where. A simple solution would to lengthen Right and use it for departures and land on left. Its easier to monitor a crossing at low speed with a good view of the approaches than one at relative high speed on an angled highspeed taxi-way looking over your shoulder. LAX is not the place to have a 'blind spot'. The new red light system is a start, but it needs more. I know its a simple instruction and simple to obey, but if you miss it, things can turn into that brown stuff in an instant.