But you just said there would be inflation and the inflation would be higher than the interest. I would simply keep my real Bitcoins and while the nominal number won't change the purchasing power of it will. Your system assumes everyone is stupid and opt for inflationary non-Bitcoin tokens instead of the "real thing". Even if people temporarily did that, the scenario requires them to be stupid over an extended period of time. They would need to see that year in and year out they have a decline in real purchasing power and continue to not act by taking the very easy step of taking their coins out of the bank.
Inflation would only be in some "moneys" and you never knew in advance which bank would cheat... This is not my system, I just describe what actually happened back then and show the origin of the term. Is this really so hard to understand?
And I have already seen ads which promise to pay interest in BTC for investing some bitcoins...