Yep, the issue is, that with SAE 0 not being defined, like with SAE 5 also not being defined, when companies make up oil grades and slap them on a bottle, they don't care that there is almost assuredly an existing SAE grade that applies. IIRC, one of the ones that was labelled as "0W5" was actually a 0W-12, another was a 0W-20.
"Back in the day" there were monograde Winter oils. You could buy SAE 20W for example, and other exciting grades like 10W-20W-40:
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If we go by J300:
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An SAE 0W would need to have a CCS of 6,200cP or below @ -35C, an MRV of 60,000cP or below at -40C and a KV100 of 3.8cSt or higher. They can ignore HTHS.