Just to chime in here (I provide the feed), there are specific channels that you're probably listening to that like one of the previous posters pointed out probably gets drowned out in the other citywide radio traffic. If you have a scanner and let it sit on the LAPD Dispatch-North Hollywood Division channel then you'll likely hear more on those local incidents and specific information because all of that radio traffic will happen mostly on that channel (and the corresponding North Hollywood simplex/car to car channel).
The LAPD Citywide Dispatch feed was setup to serve the broadest listener base and provide the most non-stop action for those listeners. With that in mind, I decided to let the scanner continuously scan the dispatch channels for all divisions, as well as the Hot Shots/Code 3/Air & K9 channels because all of this together usually provides the most exciting listening experience. While I agree that following a specific incident in your specific area might be harder, it is a trade off that is worth making so the overall user base doesn't get stuck listening to things in North Hollywood.
I used to provide a separate Van Nuys division feed for that exact reason (I live in that division's area and wanted to follow specific local traffic more closely, but there were seldom more than 5 listeners and ended up just buying another scanner to cater to my own listening). With the LAPD Citywide Dispatch feed setup the way it is presently, it is continuously either the #1 or #2 most popular feed and while I'm always open to suggestions to create the best feed possible, I think that it is doing a good job at the moment.
Lastly, as per RadioReference's TOS, I am unable to stream the Car to Car/Simplex channels AND also the Tactical Channels, both which significantly will cut down on the amount of incident specific chatter. For example, when chasing a suspect, in North Hollywood, with air support etc... after the incident is dispatched, if it is a ongoing situation much of the traffic will switch to the Car-to-Car or Valley Tactical channels(both cannot be broadcast), this way they do not tie up the regular dispatch channel. This could also explain why you're not hearing it on the feed.
hope this helps.