It's not like Connecticut is losing people in droves:
2014: 3.597M
2013: 3.599M
2012: 3.594M
2011: 3.591M
2010: 3.577M
2009: 3.562M
2008: 3.546M
2000: 3.412M
1990: 3.292M
1980: 3.108M
1970: 3.032M
The trend is still a net influx of people albeit in the 10s of thousands over the past decade or so. It's true the population is not exploding, but it's one of the most densely populated states already, where would we put additional people, and how would the infrastructure handle it? Connecticut still offers nice quiet safe suburbs with access to the biggest cities in the country, full government services, decent mass transit options, beaches, a couple of little hills that qualify as bunny slopes for snow sports, some of the best public and private schools, and proximity to the top universities in the country. There's still a lot of good stuff here even if many people refuse to see it or take it for granted.