This revelation seems me to be a calculated political move. The government at the time was the leftist one led by Helle Thorning Schmidt (now the president of Save the Children). Current government is a right-wing one. Revealing this shows certain groups of traditional leftists how those traditional workers' parties have "betrayed" them (and this leftist government has been quite pragmatic; just recently the leftist opposition parties voting to approve the infamous sufficiency proposal -- i.e. the one where if you're carrying significant amounts of cash and try to seek political asylum you get to pay for it yourself first).
You can read that in what the foreign policy spokeperson of the party says: "It is to me unbelievable the that S-SF-R government of that time would prefer to join the hunt on Snowden and thus value the American government over the Danes' fundamental right to freedom" (see http://www.politiko.dk/nyheder/pind-fly-i-kastrup-skulle-tra...)
You can read that in what the foreign policy spokeperson of the party says: "It is to me unbelievable the that S-SF-R government of that time would prefer to join the hunt on Snowden and thus value the American government over the Danes' fundamental right to freedom" (see http://www.politiko.dk/nyheder/pind-fly-i-kastrup-skulle-tra...)