Just a small snapshot. From the first draft post cap in 2005, through 2011, I'm looking at 2nd picks who played 400+ games. About 5 years. Some players were goalies, and they haven't played 400 games, but some of them might. It's not perfect, and I'm not going through crazy detail on this, but it's some general numbers. Sticking to "2nd round picks", even though some years had more than 30 selections in the 2nd round. Had to stop at 2011, since there's almost nobody that's played 400 games yet in any of the drafts after that. Also added Voynov, since he would've been over 400 games.
Out of 218 total picks, 38 have played 400+ games, which is about 17%. Went as low as 10% in 2007, and as high as 23% in 2009. Between picks 31-40, there were 11(29% of players) that played 400 games. Between 41-50, there's 12(32% of players). Between 51-60+, there were 15(39% of players).
Again, goalies mess things up a bit. You can get a guy that has 1 great year that helps you, so it doesn't have to be 400 games. But if we're looking for longer term quality, about 1 out of 5 picks in the 2nd do well. From those averages, for whatever reason, you seem more likely to get a player later in the 2nd than earlier.
With 1 out of every 10 picks this year as of today, that should help the Kings get a guy. That guy could be MA Vlasic, Paul Stastny, Shawn Matthias, PK Subban, Roman Josi, Marco Scandella, Alex Chiasson, Richard Panik, Justin Faulk, Jason Zucker, Matthew Nieto, Nikita Kucherov, or one of many other examples, ranging from quite good to meh. But overall, like baseball, much more likely to cause on out than get a hit.