When asked whether he'd like no-ball decisions in international matches to be made by the third umpire, Hesson responded: "Players, coaches and spectators want more decisions right. If we use technology to do that, decisions like that become less influential. The ICC are aware of that and will discuss it.
"The umpires are assisted in many ways and it's made the game better. You're kidding yourself if you think there is a 100 per cent proof system."
Illingworth is reportedly distraught over the howler. He is scheduled to transfer to the third umpire's box for the final test in Christchurch starting on Saturday.
Hesson accepted Australia still dominated the test but, if anything, the New Zealanders would have preferred a greener Basin Reserve pitch.
"It only seamed for two hours and that meant both sides weren't exposed in those conditions. That makes the toss more important. We were behind from the start and struggled to get back in. We were outplayed throughout."
He said they would be analysing their batting struggles from both innings.
"Look at the first-session wickets. They were all from good length deliveries which moved off the straight and exposed our techniques.
"[In the second innings] they were getting it to move both ways [using reverse swing].
"Our batsmen were talking about how to combat it. You've got to think about the most challenging delivery. Is it the one attacking the stumps or going away? To be fair, in New Zealand, it's rare to get reverse swing 18 overs into an innings on day three."