McCarthy's side, who were beaten 1-0 by Birmingham in their cup third-round replay on Wednesday, have picked up 10 points this term from losing positions to keep them just above the bottom three.
But the manager would prefer his side not to have to keep battling back from adversity as they seek their first home win over Villa in 33 years.
He said: "People tell me we've got the best record in the Premier League from losing positions but I'm not sure if I should be happy or sad about that!
"It says a lot about the character of the players and, of course, I'm delighted with that aspect.
"I wish we were saying we'd had more clean sheets and been in front in more games.
"But you have to take a positive out of everything you can. It does say a lot about the team when we've been behind, like against Sunderland, Norwich and Arsenal recently.
"We are able to battle back and we've got 10 points from losing positions.
"It is great credit to the lads for that, to keep coming back. You get knocked and knocked and knocked. It just shows how resilient they are."
McCarthy is aware the next month or so will have a big impact on Wolves' season with home fixtures against Villa, Liverpool and West Brom plus trips to QPR and Blackburn.
He said: "It should shape where we could be for the run-in and we've had great support in the home games.
"We had a minor blip when I threw my toys out of the pram (during the Swansea game) and I was entitled to do it.
"The fans were getting to the end of their tether. We'd had six defeats on the bounce so I could understand them being frustrated but not passing it on during the game.
"But I think before that and certainly after, the fans have been brilliant, notably against Sunderland when we were behind, Norwich, when we were behind.
"Let me tell you, positive atmospheres create positive results, negative atmospheres create negative results. They have been fabulous, and we have got results because of them."
Wolves suffered a surprise FA Cup exit against Birmingham when McCarthy made 10 changes in midweek, but he has been happy with recent league performances.
He said: "I shall be looking for a positive response to the cup game and I was disappointed to go out and concede the goal in the way we did.
"But in recent league games everyone has stuck to their game plan. The players have been organised and disciplined.
"We lost that for one split second in the game against Chelsea, otherwise we would have been five games unbeaten in the league."
McCarthy has been delighted with the impact of on-loan Arsenal midfielder Emmanuel Frimpong and believes his addition has had a positive impact on Karl Henry.
He said: "Manny can play, that's for sure. He has got the energy to get up and down the pitch and the pace to do it.
"But it has also allowed Henry to release himself a little bit.
"Karl is particularly good at disturbing the opposition when they have got the ball, and then getting us playing. It is two-fold having him (Frimpong) there."
