Brighton defender Jan Paul van Hecke headed an 85th-minute equaliser after Marshall Munetsi had put Wolves ahead.
"We started the game in control and had chances and then we made an easy mistake to concede a goal out of nowhere," said Hurzeler.
"After that we lost a bit of our rhythm and confidence, but we kept trying, we never gave up and at 1-1 we still tried to win the game. It was a good performance, not a great performance but we showed character and personality.
"Wolverhampton had a lot of defenders in their box in the second half and we knew it would be hard to break down their low block, but we created a lot of danger and were very dominant. We were good in possession but the frustrating thing is that the goal gave Wolves something to hang on. The lesson from that is we have to reduce our own mistakes, and keep more clean sheets."
Hurzeler said of Brighton's goalscorer. "JP is a character who is stepping into a leadership role and becoming a role model. I'm delighted for him."