"At the end of the day it's a game of cricket so I wouldn't be putting the crowd and players' safety under threat.
"There are some questions that need asking to the ICC for clarity. It's all very well wanting to finish a game so you can tick a box but players' health and safety and crowd safety is very important and that to me felt like very threatening lightning."
Broad also revealed that with the umpires deeming conditions playable, he had talked to McCullum about leaving the field without their consent.
"It's not sour grapes, the New Zealanders felt the same," he said. "When the umpires got together and kept saying 'it's fine', Baz [McCullum] and I had a discussion about taking our players off the field because we didn't agree (with the umpires).
"In my opinion, my team's opinion and everyone else I've spoken to's opinion it wasn't right for us to be out there when the lightning was striking.
"Look at golf - a hooter goes and they all clear off half an hour before the lightning strikes.
"I personally wouldn't have taken the risk. You've seen it in football where lightning strikes the pitch and players have hit the deck.
"It was certainly close enough. It was luck rather than judgement, I think."
New Zealand seamer Kyle Mills agreed with the wider issue of safety taking precedence over a sporting contest, but did not feel any major errors had transpired.
"I think that's probably a bit of a hindsight thing, isn't it? If Stuart was on the other end of it, he would be more than happy with the decision," he said.
"In cricket you win some and you lose some, the umpires are trying to make the decisions to the best of their ability.
"But at the end of the day, it's just a game of cricket. Everyone could tell the thunder and lightning was relatively close to the ground and I think the right decision was made to take the players off.
"We're here to win a World Cup but it's just a game of cricket and lives are more important."
New Zealand skipper McCullum was also frustrated with how the game finished but was happy his side grabbed the win.
"The game was set up nicely - 170 was a tough total," he said.
"The game was evenly poised. It is frustrating for all parties that the game finished like that.
"I think both teams will walk away please with the performance. For us it is nice to walk away with the win."
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