I don't like to use the word elite unless the team has won a Super Bowl, but I would consider Atl one of the better teams in the NFC. They have made the playoffs 4 out of the last 5 seasons and won at least 11 games 3 out of 4 of those seasons. The other two they won 9 and 10 games. I don't think you can just look at a specific round a team makes it to in the playoffs, becasue you have to consider who they lost to, who they beat, and how they won if they advanced. Atl was 1 and done in 3 out of their last 4 playoff apps, but look at who they lost to.
AZ in 2008 who was a couple of minutes away from winning the Super Bowl that year.
GB in 2010 who won the Super Bowl.
The Giants in 2011 who also won the Super Bowl.
Had Alt beat mediocre teams allowing them to advance further in the playoffs before losing to one of those teams that made it to the Super Bowl, it wouldn't change my opinion of the type of team Atl is. To me, it is not only regular season success, but who you play in the playoffs and how you won or lost.
So, yes I would consider Atl one of the better teams in the NFC based on their sustained regular season success and based on who they lost to in the playoffs.
What is sustained success to you? Do you really think that making it to the divisional round makes a team elite?