I believe there will be a "miracle" recovery after Olympic brak.
This team need a rest, a lot of rest. They are playing a style of hockey that you just can't play over marathon of 82 games + PO all the time on the same pace. To be successful, team must play on top of his pace. If not, there are holes in their game. Kings game is checking, grinding, physical game, playing 200 feet in both directions, no coasting allowed and for sure this will much more wear you down then relying on speed and positional game.
For me this is simmilar as if you would run marathon 42km. I can start with the pace runers usually have on runing for example 3km, but I certianly can't keep this pace through all 42 km. This tempo will just wear me down somewhere in the middle of full distance. And I'll go through chrisis and then depend up to me if I'll be able to recover short term and finish strong or I'll give up. I won't win at the end but maybe I'll be the strongest in finish sprint and then if winner is ready to run additional few km (aka PO), I'll maybe beat the winner in the few extra km because I'm again strong as I was at the beggining.
I do believe fatigue is huge factor there. When you don't have much energy left in your tank, the most visible is at scoring goals. Shots are not accurate anymore, not powerful anymore, you don't have this extra energy anymore to beat opponent for that extra step, so you start playing much more conservative. And that are Kings right now.
So thats why Olympic break will do miracles for this team (or at least for most of the team). Players that will play on Olympics will get extra adrenaline burst and I see a bit problematic only for Brown to be participating on Olympics. He should be the first in this team that need at least one week off the ice not thinking at hockey at all and in my oppinion he should cancel participation by himself and take a rest. Carter, Doughty are not a problem, Kopitar will play four games and then have at least one week off, so this is also not a problem, Quick will share his playing time with Miller, Voynov also won't have much problems because he'll mostly play 3rd pairing minutes on Russian team.
I really hope rest of the team will have at least four, five days without stepping on the ice at the beggining of the Olympic break. They just need that...