Has an 11-5 team ever played a 12-4 team in the wild card round of the playoffs in the current playoff format?
Seems like it would be a rare event as it requires a wild card team with a really good record and a 3 or 4 seed with 12 wins
2013 Indy and KC were both 11-5 and met in the WC round.
In 2012 the Texans were 12-6 the Bengals 10-6 and met in the WC round.
In 2011 the Saints were 13-3 and the Lions 10-6 and met in the WC round. I think this may be the fewest losses 2 teams in the WC round have had.
In 2009 the Cowboys and Eagles were both 11-5 and met in the WC round.
In 2006 the Patriots 12-4 met the 10-6 Jets in the WC round.
In 2005 the Steelers and Bengals were both 11-5 and so were the Giants and Panthers and they met in the WC rounds.
In 2004 the 12-4 Colts met the 10-6 Broncos in the WC round.
In 2003 the 12-4 Titans met the 10-6 Ravens in the WC round.
I think these are the closest to your scenario.