The BCOM commodity index is in a 15% drawdown from its high, but that does not tell the real story of price destruction for many individual commodity markets. The index is a basket of commodities with a weighting based on usage, production, and liquidity. It has a heavy energy weight and is structured to be tradable. It has been in a major up cycle for the last two years. See "Is the commodity super-cycle over or just a correction?"
Trading the individual commodities show commodity markets in transition and not representative of a run-away inflation story. It is hard to argue for persistent inflation story when many commodity markets are in double-digit declines.
A representative sample of commodity declines from 52-week high as of July 1 tells a messy story, (from @macroalf). Of course, the last two years have been one of the best bull markets in commodities since before the GFC.
Looking at the last few months tells a story of major repricing in commodities since the beginning of the Ukraine War. It is notable that oil and RBOB gasoline are both below the Ukraine War spikes in early March. The same applies to wheat where supply is blocked from moving out of the Black Sea. NYMEX natural gas is down over 35% since its high last month.