Harry Maguire put the Blades ahead with just over a minute gone and when Francois Zoko was given his marching orders midway through the second half for dissent there looked like only one winner.
However, the Blades failed to press home their advantage and Alan Judge gave County a much-needed point with a late leveller.
Curle said: "As a football club over the last few days we have all come together to get this game on. The effort of the youth team, even the chairman and my PA were out there on the pitch.
"There are lots of positives to take out of the day. The attitude and application of the players to stick to their task and do that extra bit was first rate."
However, Zoko was very much in the manager's bad books after his ill-discipline left his team-mates a player down for most of the afternoon.
Curle said: "I've never been able to change a referee's decision by something I've verbalised to him. Once they've made the decision you've got to accept it.
"I didn't bother speaking to Francois, I just told him to get out of the changing room as I didn't want to look at him and it will cost him financially."