"The market is obviously currently gripped in a sense of panic and, as such, it is not paying a lot of attention to the underlying fundamentals," said Jan Dehn, head of research at Ashmore Group in London, which manages $80 billion worldwide.
"What happens in these situations is that where the market has gone and what actually exists on the ground in reality have parted ways with each other."
The case against India is not hard to make.
Investment has melted away and data is pointing to a plunge in manufacturing and service-sector output. At the same time, the current account deficit is at a record high, a stubborn fiscal deficit has raised the risk of sovereign rating downgrades, and the central bank's recent cash-draining steps threaten to raise borrowing costs across the economy.
(Read more: India central bank intervenes aggressively to support rupee)
Some analysts say India's bond market is pointing to the risk of recession. Banks fromHSBC to Goldman Sachs have cut their economic growth forecasts for India in fiscal 2013/14 (April-March) to below the already decade-low of 5 percent in the previous year.
Is it really a crisis?
Yet some investors believe the pessimism is overdone.
Even if growth were to slow below 5 percent, that would still be a faster clip than some other one-time darlings of foreign investors, including South Africa and Brazil, which are both expected to grow at around 2 percent.
Analysts also point to growing indications that the rupee has overshot, especially after new Reserve Bank of India (RBI) Governor Raghuram Rajan sparked hopes that recent controversial measures will be unwound.
The RBI is also widely expected to return its focus to reviving growth, having put a series of interest rate cuts on hold to defend the rupee.
Teera Chanpongsang, a portfolio manager at Fidelity Emerging Asia Fund, still has faith in the prospect for higher growth.
"I'm still confident GDP growth will come in around 5 percent despite these hurdles. I continue to invest in positions that are long-term winners, such as pharmaceutical companies, IT outsourcing companies and select high-quality banks," she said.
Meanwhile, signs are emerging that India's current account deficit could narrow substantially in the current fiscal year from the record high of 4.8 percent of gross domestic product.
Exports surged in July, leaving the trade deficit at $12.3 billion, well below the monthly average of $16 billion in 2012-13. The slumping rupee and signs of an improving global economy led by the United States also bode well for shipments overseas.
(Read more: India swamped by a wave of growth downgrades)
At the same time the rate of imports is expected to slow after a slew of measures from policymakers to curb demand for gold, the country's second-biggest import after oil, including raising duties.
Barclays estimates the current account deficit will narrow to $68 billion this fiscal year, lower than the average of $83 billion over the previous two years.
Yet the rupee slumped to a record low of 68.85 to the dollar on Aug. 28, for a loss of 20 percent from the end of 2012, falling more than the currencies of Brazil, Russia, Indonesia, or South Africa.
While the magnitude of the fall is coloring investors' perceptions about India, analysts say it is more a reflection of years of policy neglect by the government that has left the economy with structural flaws.
Maarten-Jan Bakkum, an investment strategist for ING Investment Management's emerging markets fund, believes the ball is in the policymakers' court.
"The environment for emerging markets is changing rapidly for the worse and Indian policymakers seem to think they are not part of it, that they can postpone policy changes, without really improving the investment climate or coming up with credible steps to improve the fiscal deficit," he said.
"I think there are other countries that have more chances of a crisis than India has. The currency depreciation in itself was long overdue. There was clearly a reason for currency depreciation, and it can fall further, but that's not a crisis."
(Read more: Mobius: The rupee rout will be over soon)