Gold and oil futures markets: Are markets efficient?

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How is Volatility in Commodity Markets Linked to Oil Price Shocks (2016, background): “Gold is a precious metal and its demand is mostly for investment to hedge against inflationary effects of economic shocks (Narayan et al. [2010]).”
Hedging Strategies of Green Assets against Dirty Energy Assets (2020, background): “(8) Gold is widely regarded as a safe haven asset in financial markets [24,44].”
The Financial Economics of Gold – A Survey (2015, background): “Narayan et al. (2010) look at the theoretical link between oil as a driver of inflation and inflation as a driver of gold prices to assess whether oil prices can be used to predict gold price changes.”
On the nonlinear relation between crude oil and gold (2017, background): “The positive co-movement between oil and gold prices can be explained through various channels, firstly, inflation channel (Narayan et al., 2010).”
Gold, Oil, and Stocks: Dynamic Correlations (2016, unknown): “Narayan et al. (2010) improve on the cointegration approach and analyze the long-run relationship between gold and oil futures prices over the period 1963–2008 at different levels of maturity in order to gauge differences in hedging behavior.”
What has driven oil prices since 2000? A structural change perspective (2011, methodology): ““Bandwidth” is the Newey–West bandwidth using the Bartlett kernel (Newey and West, 1987). the first natural logarithm differences.”