Possible confirmation bias here, I'd really need to go through the game logs and pick this apart, but it feels like Skinner's good games these playoffs are more often than not when he's racking up a bunch of score effects shots and he allows just 1 goal, while his team has exploded for a ton of goals.
He does have a 1-0 shutout way back in round one against the Kings.
1 goal against in game 3 of the LA series when the Oilers scored 6, 1 goal against in game 6 against Vancouver when the Oilers scored 5. 1 goal against in game 5 against the Panthers when the Oilers scored 8 goals.
He did only allow 1 goal in each of the last 2 games against Dallas, where the Oilers scored 2 and 3 goals.