Did some research on the Ducks' past playoff success starting 2011-2012 the season after we eliminated them.
2012-2013: Loss in the 1st round to the Red Wings
2013-2014: Loss in the 2nd round to the Kings. Eliminated the Stars who weren't very good that year and barely got to the playoffs being the 2nd Wild Card. So, not a very huge victory there for the Ducks, actually the Stars made it a pretty close series.
2014-2015: Loss to the Hawks in WCF. Lot of people think this was a huge success story for the Ducks but really they had a ridiciluously easy way to the WCF. They took down the very weak Jets and the Flames, neither made it to the postseason this year. Surprised that they even got to the playoffs that year.
So basically, they haven't beaten a legit contender in a long time. They've just beaten these bubble teams who have barely made it to the postseason without any hope of actually succeeding. When the competition gets tough, the Ducks don't seem to flourish.
As this series progresses, we'll see if we are a Stars, Jets, Flames type of team or the Hawks, Kings, Red Wings type.