My understanding of the reason for filling the oil filter is less “small period of time with no oil” and more “unmeasured void of space where oil generally sits” - ie, that there will be oil in that filter at all times and that filling the oil without filling the filter might mean the oil is low…
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Once the vehicle turns over the first time and fills the filter itself.

That being said… this can be solved by turning the vehicle over long enough to put out the oil filter light & then checking the dipstick again.
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