Conventional wisdom absolutely does not say it wears the same. Viscosity is key to preventing metal on metal wear.
The argument here between the oils would be does the 0w20 have enough viscosity,,,if it does,,, then there would be no benefit to thicker oils. And if the 0w20 did have enough viscosity, the downside of running a thicker oil would be a slight reduction in HP and fuel economy.
On the flip side, if the 0w20 doesn’t have enough viscosity to maintain the oil wedge between components, then the thicker oils would greatly reduce wear/ extend engine life.
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