A political leader demanding questionable policy from the central bank and testing the legal limits to get it - to Martin Redrado, sitting in Argentina, Donald Trump's stand-off with the Federal Reserve feels surprisingly familiar.

Redrado was fired as head of Argentina's central bank in 2010, after he resisted orders by then-President Cristina Kirchner to hand over reserves to help pay off national debts. He fought the decision successfully in court, but eventually resigned in the face of what he told the BBC was 'intolerable' pressure.

Today, the clash is remembered as one of the early warnings of the economic turmoil that later engulfed Argentina, exposing it to high inflation and a currency plunge from which the country is still recovering.

Trump's fight with the Fed has sparked debate about whether the US might be heading in a similar direction.

Since his return to office last year, Trump has accused the chair of the US central bank, Jerome Powell, of mishandling the economy and driving up debt costs for the government by keeping interest rates too high.

But his interventions at the bank have not been limited to social media complaints.

In August, Trump moved to sack a top policymaker, Lisa Cook, a decision now being challenged at the Supreme Court.

Then on Sunday, Powell said the Fed was facing a criminal probe from the Department of Justice, relating to cost overruns at a property renovation - concerns that Powell has dismissed as 'pretext.'

Market reaction to the drama has remained muted, which analysts said was a sign that investors expect the bank to be able to continue operating freely.

But that faith will be tested in the coming weeks, when the Supreme Court is due to hear arguments about Cook's firing and the president is expected to announce his pick to replace Powell, whose term as Fed chair ends in May.

Redrado said he has been surprised to see echoes of his own battle happening in the US, long held up as a global model.

'This seems more like an emerging market story,' he said.

He is not alone in making the comparison.

'This is what you do in banana republics, not what should happen in the United States of America,' economist Jason Furman, who led former President Barack Obama's Council of Economic Advisers, told the BBC.

In an interview with CNBC, former Fed chair Janet Yellen raised a warning against the way Trump wants the Fed to conduct policy, saying, 'It is the road to a banana republic.'

Trump has remained defiant in the face of calls to limit his interference with the bank, stating that he maintains a right to express his views.

Economists argue that while there are immediate political significance, in the long run, calls for central bank independence are critical in ensuring economic stability. Central banks deliver the best results when they operate without political interference, experts warn.