Even in this example where inflation doesn’t occur, consumers will never benefit from the productivity gains that allowed producers to make more apples. Something clearly changed that allowed more apples to be produced. Maybe a significant amount of capital was invested in more machines, or a new, faster growing cultivar of apple was developed. In any case, the entire benefit of the free market economy is that competition creates an arm race for better products at lower prices. When the central bank steps in and creates a bunch of new money, it destroys any benefit of increasing productivity, since apples with always be $1, regardless of whether 100 are produced or 1,000.
Sure, that's why no consumers have ever benefited from any productivity gains ever...
Central banks don't fix the price of apples. They simply make it possible/easier for cultivators of apples to obtain capital to invest in more machines or developing new cultivars of apples. The alternative is that cultivators have to try to find the capital by borrowing more expensively from a fixed supply of stored wealth. From the point of view of people holding the stored wealth, the arms race for better products at lower prices becomes a zero sum game where it's a winning move not to just hold onto the cash and let other people take the risks. Unsurprisingly, this does not benefit consumers, or the productive.
Yes, this is an important point: it matters how new money is created. $100 isn’t created and given to everyone. It’s created and given to the apple producers to make more apples. This is government spending.
Central Banks allow us to pay each other and regulate banks to operate in the best interest of the economy by making 'good' loans. You are describing a gold standard or fixed monetary system. These systems have lead to deflationary collapses time and again. Without getting off of the gold standard as it was defined we would have never funded WW2 which was the larges money printing event in US history equating to 22% of GDP in government deficits.