Numberphile on Bentfords Law

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Alright fellow /sci/entists, now that the confusion and ire surrounding the immediate election results has calmed, it would be a great idea to revisit this topic.

Even nine years ago Numberphile did a video on this.
www.youtube.com/watch?v=vIsDjbhbADY
in the video description there are many other sources linked, also a rationale regarding application of Bentfords law in the scope of elections and possible electoral fraud.

How credible is Bentfords Law as a metric, scientifically speaking?
To what extent do you see merit to the presented arguments (in the description)?