Yeah those special teams stats are especially damning because, as mentioned before, most teams are at least good at one of the two to fit their identity; it would be 'fitting' if the Kings had an amazing PK and not good PP since their calling card is shutting down GA, and there are quite a few teams good at one and not the other; ie Edmonton has the 3rd overall PP, but 20th-ish PK. Dallas, 6th PP, mid 20s PK. San Jose, 6th PK, bad PP. Even middle of the pack teams have one working at an average level at worst.
The Kings' company in the "both suck" category: Arizona (31 PK, 32 PP), Montreal (29 PK, 31 PP), Seattle sorta (24 PK, 27 PP)...that's it. No other team is close to bottom 10 in both. That's it. Literally the three favorites for the lottery + the Kings (30 Pk, 24 PP - but 2nd in shorthanded goals against).
If the Kings could even figure ONE out, they'd be leading the division.