A US climber who filmed his children, aged nine and 11, being knocked off their feet in a mini-avalanche as they tried to set a new mountaineering record on Mont Blanc has been condemned by the local mayor and climbers' associations.

Patrick Sweeney, who caught the incident on camera and posted on YouTube, was interviewed with his children on US breakfast television about how they survived the mountain's notorious "corridor of death".

On seeing the footage, however, Jean-Marc Peillex, mayor of St-Gervais-les-Bains – the town where mountaineers begin their ascent of Mont Blanc – went on the attack on Monday.

He denounced Sweeney's "recklessness" and the promotion of the incident in the media, and told FranceInfo radio that Europe's highest peak was "becoming an amusement park where we're going to have gendarmes, rescuers and Pamela Anderson to save us".

Sweeney, a self-described "adrenaline junkie", was trying to beat the record set by a 10-year-old boy from London in reaching the summit with his younger son, PJ, and daughter Shannon.

"He was trying to break the record for stupidity," said the president of the national mountain guides' union, Denis Crabières. He expressed concern about climbers' use of social media to publicise their adventures, and said that Sweeney should have known better than to exploit his children, who would have been unaware of the extreme risk.

Reading on mobile? Click here for video

In the news clip, PJ described being "pretty scared" when the avalanche hit, pushing Shannon on top of him. He added, however, that he wanted to make another attempt at scaling the 4,810m mountain, while Shannon wanted to wait another year.

Peillex said they would not be welcome in St Gervais. He told the Guardian that since becoming mayor in 2001 he has been campaigning for climbers to pay to be rescued if they abuse the services, which are paid for by the French taxpayer. He hit the roof last month when a Polish climber called for a helicopter "because he was tired". The rescue service refused to pick him up.

"Mont Blanc is not the New York marathon. It's not a trek. It's mountaineering," he said, noting that a Ukrainian climber was killed on Friday on the same corridor where the Sweeneys got into difficulty.

"Next time, he might be filming his children's death on reality TV," he said.

Two Irish mountaineers fell to their deaths on Sunday on the Dent du Géant section of Mont Blanc.

• This story was launched on Monday 28 July 2014 with the incorrect claim that the record for the youngest person to climb Mont Blanc was an 11-year-old girl from London. This has now been amended.