First off, I'm not going to opine as to what the officers should have done because, unlike some people here, I wasn't actually in the middle of it, so I really don't know the real circumstances. I will, however, note one detail about the reports and express a couple of opinions.
First, the articles say that the family "disputed many details of the police account, arguing that the situation could have been resolved peacefully." Nowhere, however is there indication of what details (if any) they actually dispute. Arguing that things could been resolved better is only an opinion, probably based more on emotions than facts. I don't know the real situation, and I doubt they do either, since I'm sure that LAPD didn't let them into the middle of the party.
As to the opinions, first, it's my experience based on living in LA for 15 years that LAPD has a tendency to escalate their use of force much quicker than other big city departments, which sometimes produces questionable results. If they'd been running the Waco standoff, the tanks likely would have gone in using their main guns by the second day. The other one is that I expect that some of the officers involved are taking this even harder than the mother. At least she can vent by blaming them, which is why the families almost always start off blaming the cops.
(Opinions are like arm pits. Everybody has one or two, and a lot of them stink.)
Ken