Has it been shown that #covid19 viral load is strongly correlated with infectiousness or number of others infected?

Clearly this is intuitive, but is it true?

I see this assumed a lot, but can't find good supporting evidence / data

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Here's a review published in August, including citation of a study where

"no live virus was successfully isolated after Day 8 from symptom onset despite ongoing high viral loads"

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I fear that high viral load = infectiousness is falling into a fallacy

Surely social factors - number of contacts and context of contact - are much better predictors of the consequences of infectiousness than viral load

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Likewise, are superspreading events driven by people with high viral loads, or are they primarily driven by context?

I suspect the latter - even people with moderate viral loads could infect many others in the right context

Please cite data for or against if you have them

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