That is the traditional conspiracy about the Fed - privately owned, Rothschild, translated to the Reichsbank and a dash of Hitler added.

The Reichsbank was privately owned but government-controlled. Prior to 1922 directly, then it was independent. Following the Dawes-plan, the Reichsbank was independent but half or its board appointed by foreign powers. Following the Young-Plan, the board was since 1930 appointed by the german government again.

Schacht did co-create the Rentenmark and thenwas appointed president of the Reichsbank. He did resign in 929 to protest against the Young-Plan. In 1933 Hitler demanded money creation and or credit from the Reichsbank but the president Hans Luther was reluctant. Lurther was then sent as ambassador tot he US and Schacht returned.

Now it gets interesting:

"Then Hitler got Germany back on its feet by having the public government issue Treasury Certificates."

As long as they talk about Mefo-Bills, that is broadly true. Mefo-Bills were issued from a state owned private company but discounted by the Reichsbank. Additionally to that were also considerable budget deficits financed in traditional ways. So the Mefo-Bills were a form of unconventional monetary polica flanked by classic fiscal stimulus.

 "Schacht , the Rotchschild agent, disapproved of this government fiat money, and wound up getting fired as head of the Reichsbank when he refused to issue it."

No, he invented this fiat money. It is true that he wanted to recall the Mefo-Bills in the late thirties and also wanted to reduce the budget deficits. Because this clashed with rearmament, he was fired.

"Nonetheless, he acknowledged in his later memoirs that allowing the government to issue the money it needed did not produce the price inflation predicted by classical economic theory, which says that currency must be borrowed from private cartels."

Who knows what Schacht did write. Schacht is a very unreliable Narrator, reducing everything to greater glory of Schacht. If Schacht just claimed that Mefo-Bills did not cause inflation in he thirties that much seems to be true.