Sunday's 3-0 victory was only the third time that Hibs have come out on top in the league in front of their own fans during the course of the calendar year.
Butcher said: "I said to the players before the game, 'we're playing at Easter Road, we know that... But if I was to say to you, you're playing at Wembley in front of 90,000, you're playing at the Maracana, or you're playing at the San Siro, Tynecastle, would that affect your performance?'
"The boys said 'no'. That's exactly right. It does not affect your performance where you play. You play the same way and do the same things whether you're playing at Easter Road or at Tynecastle.
"I think they did that against Kilmarnock. They just said, 'we've got to go and play'.
"It was really good. To win the last game of 2013 at home, having only won two previous ones, it does help send the supporters away happy and now everyone is buoyant and looking forward to Thursday."