An own goal from Ramahlwe Mphahlele after 18 minutes at the FNB Stadium handed Amakhosi the lead, before Tshepang Moremi found a quick-fire equaliser, a mere five minutes later.
Elmo Kambindu then put Usuthu into the lead on the hour mark, only for an error by Ofori to hand Chiefs a share of the spoils when he fumbled the ball into to own net with 63 minutes played.
Reflecting on the game, Zwane explained that Ofori's performance had initially kept them in the game before his unfortunate mistake.
The Usuthu boss said on SuperSport: "Unfortunately football is a game of mistakes.
"[But] as I said earlier on, he kept us in the game [first half]. Sometimes when the pressure mounts, you are bound to crack.
"He made those two crucial mistakes, both of them we know on any given he'd save them, make them look easy.
"Now is our job as coaches to try and help him phsychological because we need him. He's been doing fantastically well for the team."
Former Kaizer Chiefs winger Joseph Malongoane has urged Amakhosi supporters to remain patient with co-coaches Khalil Ben Youssef and Cedric Kaze, arguing that the pair needs time to understand the unique demands of South African football.
Kaizer Chiefs winger Asanele Velebayi says his early months at the club have been a steady, game-by-game learning process as he finds his feet in the top flight.
Kaizer Chiefs co-coach Khalil Ben Youssef has admitted his side continues to struggle in front of goal but insists the team is working hard to solve the problem ahead of Sunday’s clash with TS Galaxy in Mbombela.
Orlando Pirates captain Nkosinathi Sibisi is keeping his focus sharply on the Carling Knockout Cup title as his team tops the Betway Premiership table with 28 points after 12 games.
