Offering shipwreck survivors a discount on their next cruise does not appear to be the best marketing idea.

Carnival subsidiary Costa Cruises faced outrage Monday over a purported offer by the Italian cruise line to give survivors of the deadly Concordia capsizing 30 percent off their next voyage with the embattled company.

It’s unclear if the offer was actually floated, but the global fall-out marked the most bruising day for Costa since the Jan. 13 accident blamed for at least 15 deaths.

Costa briefly refuted the stories, then retracted the denial — the latest flashpoint in a public-relations response that has both Costa and Carnival’s Doral headquarters under fire.

The Wall Street Journal led its main Concordia story Monday with a blunt question for Carnival Corp.’s CEO: “Where is Micky Arison?” It was the 11th day of silence from Arison, who has communicated only in written statements and allowed top Costa executives to face the cameras after the Jan. 13 shipwreck off an Italian island.

The approach follows Carnival’s strategy of treating its cruise lines as independent businesses. And it may have the added benefit of distancing Carnival Corp.’s No. 1 brand, Carnival Cruise Lines, from the Costa crisis. But critics see Arison as dodging the spotlight over a deadly accident rattling the entire cruising industry.

“Micky Arison should come out, and take ownership, and get in front of the story,’’ said Julie Silver Talenfeld, president of Boardroom Communications, a public relations firm in Plantation.

Bruce Rubin, a veteran of crisis PR in Miami, agreed, adding: “If I was counseling Micky, I would have had him go to the scene. Micky is a likeable guy and pretty well known. This is one of those cases where I think the presence of the CEO would have been helpful.”

In the days after the Concordia struck a reef and nearly sank, killing at least 15 people, Carnival said it would send top Miami executives to Italy if Costa management needed them. Late last week, Carnival said Arison’s top deputy, Chief Operating Officer Howard Frank, had flown to Italy to “evaluate” the response and see what headquarters could to do help.

Frank joined Costa CEO Pier Luigi Foschi in meeting with survivors Sunday near the half-sunken ship on the island of Giglio, Carnival spokeswoman Jennifer de la Cruz said Monday.

Until now, most media outrage over the deadly accident focused on Captain Francesco Schettino, who reportedly steered a rogue course into a reef and then abandoned ship while frightened passsengers were still scrambling to find lifeboats. But a new villain emerged Sunday evening after the London Telegraph quoted an unnamed Costa spokesman pledging generosity to the roughly 3,000 surviving Concordia passengers.

The British paper quoted the spokesman as saying: "The company is not only going to refund everybody but they will offer a 30 per cent discount on future cruises if they want to stay loyal to the company."

Media around the world picked up on the story. Anchors on CBS This Morning expressed amazement at the offer, the New York Post branded it “tactless” and Twitter lit up with postings bashing the deal.

Was it actually made?

Costa’s Miami press representative issued a statement Monday afternoon stating: “Passengers on board the Costa Concordia on the night of the accident have not been offered a discount on future cruises.” Shortly after, the statement was described as possibly inaccurate and needing clarification.