(Read more: Obama to Wall Street: This time be worried)
"They feel that a severe market selloff would be helpful to break the logjam," said Greg Valliere, chief political strategist at Potomac Research Group in Washington. "It would be helpful in making the Republicans sue for peace. Obama and [Senate minority leader] Harry Reid believe that."
Twitter was abuzz about the interview, with some sharing Valliere's opinion.
While Valliere said the Democratic president and his chief Senate lieutenant are playing a dangerous game, the political advantage so far has been Obama's.
"All of the players in this game are playing with fire," he said. "This is hardball at its most brutal. They're not inclined to compromise. They want to make the markets squirm."
Wall Street has been unrattled by the shutdown and its ramifications for the debt ceiling battle.
(Read more: Reid and Boehner speak, but no agreement in sight)
While the stock market sandwiched two modest losses Monday and Wednesday around a small gain Tuesday, interest rates have barely budged. That's consistent with previous shutdowns, though none faced the specter of the government actually defaulting on its obligations.
(Read more: Get out the rally hats: Shutdowns are bullish!)
Obama's approach, though, was beginning to wear thin with some market participants.
"It's obvious this stalemate is going to continue for many days, if not weeks, now based on the 'sharp elbow' responses by the president in the CNBC piece," Todd Schoenberger, managing director at LandColt Capital, said in a statement. "Unless a resolution in Washington happens soon, investors should brace themselves for violent volatility in the equity markets for the foreseeable future."
The nonconciliatory tone bothered some.
"It's very difficult when the president says 'I'll compromise, I'll talk to anyone, as long as you agree with everything I say,' " Steve Grasso, a trader at Stuart Franke, said on CNBC.
Carol Roth of Intercap Merchant Partners called Obama's tone "too subtle if he wants the market's help right now" and said he should have used stronger language about the direction he wanted the Federal Reserve to take.
The president did not discuss whom he would name to replace Fed Chairman Ben Bernanke, whose second term expires in January.
"What's clear from the president's remarks are two things: 1) Despite his claims to the contrary, he is pushing the rhetoric that this is Republicans' fault and, more specifically, tea party Republicans; and 2) that he is out of his depth when discussing financing issues," Roth said.
"While he pandered to small business and the middle class and tried to explain the mandate of the Fed, he is completely unaware or unfazed by the fact that current policies are doing the exact opposite of what he claims he is trying to accomplish."
Anthony Scaramucci, founder at the SkyBridge Capital hedge fund, also faulted the president for lack of leadership.
"His rhetoric about being worried is unsound, he is the one that has to be worried," Scaramucci said. "If he allows the government to default at this hour in our history, it would be a terrible blow to a fragile recovery."
—By CNBC's Jeff Cox. Follow him @JeffCoxCNBCcom on Twitter. CNBC.com's Drew Sandholm and Lawrence Delevingne contributed to this report.