Mick McCarthy says Wolves defender Richard Stearman was dropped for arriving at Molineux late, while Roberto Martinez felt Swansea City deserved something from the game.
Stearman was available for Tuesday's match after suspension and was set to start against Swansea only to be stuck in traffic en route to the ground.
Though the centre-half arrived at a snow-swept Molineux before kick-off, Wolves boss McCarthy admits he was not going to change his team to accommodate Stearman.
"I was not going to play Neill Collins but Richard phoned one of the lads to say he was late," said McCarthy.
"I was already doing my team-talk when he arrived and I would have looked soft if I'd played him.
"It doesn't matter how late he was. If you are one minute late for your flight to Bermuda in the summer, you miss the plane."
McCarthy was much happier with the players who featured in ending Swansea's five-game unbeaten run, with Sylvan Ebanks-Blake grabbing both goals in the 2-1 win.
He added: "I was worried about this game because Swansea are a good side.
"They pass the ball as well as anybody but Sylvan is a good player and nobody else in our team could have scored that first goal."
Swansea boss Martinez was happy with his team's display against the new leaders and believes his team were missing a slice of luck.
"For the performance, effort and determination of the players, we deserved more," said Martinez.
"This is one of the big environments of the Championship and the occasion didn't get to us as it did in some earlier away games. We created a lot of chances and can take a lot of positives from this match.
"We needed a bit of luck and for Mark Gower's shot to go in off the bar because I was very pleased with some of the football, in difficult circumstances. We were worth at least a point."