Price caps destroy the market, and one downstream of the cause.
The inflation is the money supply, the result is prices go up where the new money flows, like water filling up craters.
The people who get the new money first bid up the price to beat the others to a sale.
On a hard money standard, prices still change. They change because the needs, and supplies both fluctuate, if one thing gets scarce, people search for alternatives.
Bitcoin won't stop this. But it will stop prices going always upwards. Technological progress increases efficiency, which means costs are lowered on the same product, which with technology means prices fall.
Interfering with this natural flow only leads to gluts, famines and this is the real problem, that Bitcoin helps solve.