Considering that in half of those seasons they were undefeated (2010, 2014,2016, 2017, 2018) and in two more they had only one loss (2011 (the other #1 seeds had 2 losses) and 2015 (OT loss at Stanford, and they crushed everyone else)).

That means that you should only look at 2012 (Baylor, who was undefeated, had the easiest path, and they won), 2013 (Baylor, who had one loss, again had the easiest path, although the refs decided to make it more difficult for them...), and this year (You said of the #2 seeds, not overall, since Baylor once again has the easiest path).

So basically, in the last 10 years UConn has had the easiest path 7 times...when they were the overall #1 seed (in some years clearly so, going undefeated and winning all games by double digits).