I don't think you can factor last year into the equation because... it was last year. Things change, and most notably, things HAVE changed.
The wins against teams like the Wolves do have to come, of course. The things the Kings need to address can and will be addressed. I think you're placing way too much emphasis on "a game getting into the player's heads." If anything, the only ones who are really affected by that kind of thinking are the fans... and you'll see a lot of them on this board after a Kings loss saying that in different ways.
You see a "definite pattern where the more the Kings place importance upon a game, the more likely they are to panic..."
The only flaw in your rationale is that the PLAYERS do not - for the most part - look at ANY game in December as being truly a defining moment. It's one game out of 82 in the early part of the season. They aren't happy about losing, because they hate to lose, but they are not fixated on losing an important game. To them, the important games are the ones AFTER mid-April.
Do not misunderstand. I am not, in any way, saying the regular season doesn't matter. It does... but not in the way a lot of people assume. You don't judge a student's performance on the final exam by a tough test in the first week of school, especially if you know it's a good student with good study habits, etc. If you have faith in the student, you believe s/he will adapt their study habits to meet the requirements of the course. I happen to believe in the student...