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There is really no other way to improve supply chain efficiency in real time than to bring everything as JIT as possible. Inventory turnover is an entirely different concept. It is dependent on the industry. Hand sanitizers and such have a very high turnover already (they're what the marketing students call fast moving consumer goods). It's true that they squeezed a shit ton of slack from it over the past few decades, but demand for these products has always been high and markets have consistently kept opening up everywhere to meet it.

So you can have JIT implemented in a slow turnover industry - imagine ferrari having a JIT assembly line that gives you your vehicle in less than a day after you place your order - but it doesn't make economic sense.

That said, introducing slack into the industry is not useful. What you need is increase in inventory stockpiling. And as any good financial analyst would tell you, an increasing stockpile number either implies a big future order coming through or that your product isn't selling. With consumer staples companies (the GICS sector term for companies that manufacture fmcg products like toothpaste and hand sanitisers), there is hardly a new market opening or some giant ass retailer coming out of nowhere to place large orders. So stockpiling almost certainly means slowing sales.