"In the individual race he worked hard on the bike with six of seven others to reduce the gap to the breakaway," Kirkwood says.
"They came out of T2 only 14 seconds behind the lead group of seven. He then ran a near tactically perfect 5km to catch all but two of the front group. He's maturing as a racer at these events and is learning how and when to apply pressure."
Wilde continued that form into Monday to lead his team home in the relay with a seven-second margin on second-placed Great Britain and 16 seconds ahead of the United States who placed third.
Kirkwood, who was in Edmonton with Wilde, says the relay result is a special one.
"His decision to apply the pressure as soon as left transition was pivotal in his ability to gap the Australian who is a very good runner. The tactical nous he displayed was impressive. He knew his competitors' weakness and exploited them perfectly."
Wilde's next big race is the conclusion of the World Series in Switzerland at the end of next month.
World Triathlon Series Edmonton - Mixed team relay results:
1: New Zealand, 1.20.13.
2: Great Britain, 1.20.22.
3: United States, 1.20.29.
4: Australia, 1.20.32.
5: Italy, 1.21.36.