This catostrophic, terrible, horrible, no good, very bad slump is going to affect the Dodgers in one of two ways. Either they're going to completely cave, and fall way short of expectations like they have basically every year in recent memory (fun fact LA hasn't even played in the World Series since 1988) OR they're going to say fuck this, we're still the best team in baseball, and they're going to remind everyone there's a reason Sports Illustrated asked if they were the best team ever.
Since that SI cover hit newsstands the Dodgers are 4-17. They were in the process of losing 11 straight, but last night Clayton Kershaw said "fuck this". He did what an ace does: he stopped a losing streak. Additionally, Kershaw pitched angry. After getting shelled in his previous start, the best pitcher alive allowed just one earned run over six solid innings against the Giants. He produced at the plate too...drawing a walk, hitting a double, and scoring a go-ahead run. It was the type of Herculean effort the Dodgers are going to need to win it all.
He's done it before. For all the shit Kershaw gets for "sucking" in the playoffs he's had big moments. Just last season he came out of the pen in game 5 of the NLDS one one day's rest (after pitching the day before on three day's rest) to clinch the series over the Nationals. Then, in game 2 of the NLCS he threw seven shutout innings against the eventual champs in Wrigley. Keep in mind most of his playoff starts come following epic, 200+ inning campaigns, he's constantly throwing extra innings in October with the Dodgers always in the playoffs, and he's frequently pitched on short rest. He needs help though, and right now he doesn't have any. In the Dodgers past 18 games they have won just two, both started by Kershaw.
Anyways, getting back to the original question, does it matter that the Dodgers have sucked lately? There's a lot of stats that show team's World Series chances aren't affected by how they play in September. As an example I specifically remember the 2006 Cardinals falling backwards into the playoffs before winning it all. Still though, it's certainly not a good thing to be losing this much this close to when games REALLY start to matter. So either this losing streak is neutral, or it's a bad thing.
Worsening the situation for LA is the fact that during this skid they have lost to the Diamondbacks six straight times, who are their likeliest NLDS opponent. Why does that matter? All year the Dodgers have been deemed world beaters. They were called "the best team ever" (question mark?). The D'Backs, meanwhile, are plucky underdogs. Now they they think (know) they can #BeatLA when it matters most. And if the Dodgers face the Rockies? Well Colorado just swept LA in four games and pounded Kershaw. Ultimately it's not a GIGANTIC deal that the Dodgers have sucked lately, but we've seen them fail time and time again in October. I'm not sure what makes 2017 any different.