The Wolverhampton were staring down the barrel of a sixth-straight defeat when the visiting Swans skipped away to a two-goal lead through Danny Graham and Joe Allen’s first-half goals.
But Wolves rallied to score twice late courtesy of Kevin Doyle and Jamie O’Hara after the Molineux faithful had booed and jeered them for most of the 90 minutes.
McCarthy indicated he was unfazed by the crowd reaction and was only looking at the positive things to come out of the draw.
"They (the fans) can react all they like, it was a great point today and I am delighted. I can't explain the comeback. We were really, really lucky," he said.
"We have played better over the previous five games and got nothing. We have needed something to get us off seven points, something to end the run of defeats. We needed a bit of luck or a bit of magic and if this proves to be a turning point I will be delighted.
"I'm not bothered. We got a point. We needed something."
He added: "My overriding feeling is that the players kept going and got the result for themselves and the club, and that is fabulous and I'm delighted.
"I'm not sure we are jumping around for joy as it has been a difficult day for us, but when you pick the bones out of it, it's a good point."