Running a super market involves owning physical goods for some period of time. With deflation, the price you can sell those goods for drops while you are holding them. In fact most economic activity involves paying for inputs (labor, materials, etc) and then later getting paid for your outputs. Deflation directly impacts profitability and can cause losses.
Since deflation causes demand to drop as economic actors wisely choose to start hoarding currency and buying less, this causes a feedback loop where deflation can spiral.
Similarly, inflation causes demand to increase since holding currency is unwise and it is better to spend or invest that currency than hold onto it.
These two patterns mean that the neutral state (no inflation or deflation) is unstable as any deviation above or below starts a feedback loop until things fall apart. This is the boom and bust economic cycle that modern monetary management is supposed to ameliorate.
Given that you want economic growth, the best solution is to try to stabilize around a small fixed amount of inflation. Arguing for the end of inflation is arguing for the end of economic growth.