But it's wrong, he says.
"The players' perspective and a team perspective, there's 100 per cent commitment to everything," Head told reporters in Adelaide on Tuesday.
"There's no one format that plays bigger than any other.
"You're playing a World Cup ... we carve that out and we plan as best we can.
"I think it's probably more a public opinion that so many more people love Test cricket more than they love T20 cricket."
Head and Australia's T20 team crashed out of the T20 World Cup at the group stage.
They beat minnows Ireland and Oman, but losses to Zimbabwe and Sri Lanka consigned Australia to an early exit.
"A lot of people would draw long bows when Australian cricket teams don't win," Head said.
"There needs to be a reason; people want a reason. Sometimes there is, sometimes it's hard to explain.
"We weren't good enough. So everyone can draw their own conclusions but we know as a team we were fully committed."
Head, who will play for South Australia in the next Sheffield Shield round before travelling to play in the Indian Premier League, said the difficulties of a T20 World Cup campaign shouldn't be undersold.
"We talk about it a lot, World Cups and tournament play," he said.
"But normally we have been pretty good at navigating through those situations.
"Some teams probably aren't as higher ranked as they could be ... and it's hard to navigate through that, it's challenging. You see good teams miss all the time.
"We were on that side of things where we weren't good enough at the right times and we weren't able to get ourselves through into Super Eights.
"Where I think naturally in World Cups gone past we have hit a few roadblocks on the way, we have found a way through it and been able to problem solve on the go and found ourselves at the pointy end of the tournament.
"This year wasn't to be."
Head said the shortest format was, by its nature, fickle.
"Sometimes T20 cricket can be, not luck of the draw, but you have got five days to win a Test match and normally the best team wins," he said.
"I think it comes down to sometimes a player can win it on their night in T20 cricket, so it's a bit more unpredictable.
"It's why you see so many more unpredictable results and in the Test format why you probably see the same three or four teams around the mark in the Test World Championship and who competes for those trophies."
21°C