amountOfSubstanceWeightFlux is an unclear unitType Weight is a force which implies Newtons Flux implies something per unit area per time
The parentSI for amountOfSubstanceWeightFlux is molesPerKilogramPerSecond
A more appropriate unitType may be amountOfSubstanceMassRate
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I agree that gram is a measure of mass, not weight.
My bigger concern is with some of these SI unitTypes that are listed as Fluxes when they appear to actually be Rates. e.g.: kilogramsPerSecond, tonnesPerYear, and gramsPerYear are all listed as massFlux, but there is no spatial component, so they should likely be 'rates' not 'fluxes'. This is likely a distinct issue from the 'weight' versus 'mass' one, and may merit its own ticket.