As long as there are hedges against inflation, there is no real fight against inflation
If anti-inflation monetary policies are "soft", it is still possible to hedge against inflation and rising long-term interest rates by investing in real assets (real estate or commodities, for example). But then there is no fight against inflation, since the rise in real estate and commodity prices resulting from these hedging operations against inflation ultimately drives up inflation. For there to be a real fight against inflation, the prices of these real assets must fall as interest rates rise, so that there is no longer any hedge against inflation.