The word колядка is definitely archaic and the custom should be regarded culturally as thing of the past for Russia (though it's an interesting word of course). Christmas itself (and everything connected with it) is not viewed as something really important by many people in Russia (due to Soviet past, i.e. Homo Sovieticus - человек советский - is still the predominant cultural and psychological type which determines way of thinking and mental habits - according to Levada Center sociological research).

Thus, колядки is history. In contrast to Anglo-Saxon 'Christmas carols' which exist though of course in some modern alternative ways.

It is safe to say that колядки somewhat resembled Halloween trick-and-treating too (other associations would be 'mummers', 'guisers', 'fortune telling'). Those customs may have some common root in the ancient human history.