The 2011 run seems to overshadow the 2014 run in the media and casual discussion amongst fans for a couple of reasons. The first primarily being because of the BET Tournament. The BE before it's collapse was at its absolute peak and had a true gauntlet of powerhouses that was the true, unanimous Greatest basketball conference in America. It wasn't even close in terms of public perception, mixed in with the lore surrounding the Big East Tournament in MSG which to many was just as anticipated as the NCAA with a certain brand of ferocity in its signature play. Not only did they win the BET over the 2014 team which actually got clobbered in the final of a far more inferior bracket, but they did it in spectacular, almost Hollywood fashion. ESPN and the media was following the team at every step and hype was building exponentially as they kept knocking off ranked powerhouse after ranked powerhouse.
Second factor was The Shot. Kemba's shot against Pitt, one of the most feared teams in the country that year, in one of the most dominant single basketball moves in tournament history Kemba and the team went viral overnight. This shot and 5 games in 5 days gave the team a sense of "magic" and the viewers knew it. I remember UConn being the 3rd most picked team to win the NCAAT that year in all the bracket challenges, this meant the casual fans across the US were personally invested in the UConn run probably way more than 2014.
Finally Kemba was simply better than Napier, as great as the both were. America was enamored with Kemba in a way Napier never even got close to which is crazy since he was a 1st-Team AA. I remember there was a Reddit discussion on the cbb board THIS YEAR in 2017 asking "what player from any program simply made you go 'wow he really is the best in the country'?" And Kemba Walker had the most votes by a large margin, and this is from random fans 6 years after the fact.
2011 was indeed the better team with the more memorable post-season run, and that's all these lists are about.