Flew yesterday (17-Dec) and LAX Admirals Club T4 still closed with to-go bags of chips and cookies, plus coffee. They made it sound like the closure will last for quite some time due to local health restrictions (into January, anyway). Terminal does have a decent amount of vendors operating compared to my last trip so there are other food options available for purchase.
I flew out of LAX on 11DEC and the Club was open, operating normally. Today, I am connecting to head home and they are closed with snack bags and drinks to go. I walked to Terminal Six via the underground tunnels and am in the Alaska Lounge. The Alaska Lounge is open but you can't eat or drink inside. You are welcome to take food & drinks to go when you are leaving.