I sincerly believe that what happened with Amiibos was a result of them being really cautious and going with bigger shipments of the "sure hits" characters: it was a brand new venture for them, there were some uncertainties about its actual sales potential, and we have NPD press releases stating how around 700,000 figures were shipped for the launch weeks, which is not a small number as a whole. But, of course, it was reached by shipping far bigger amounts for more famous characters, while treating smaller characters with extreme (now we can say excessive) caution. It surely took some time for them to solve the availability problem for the least shipped figures.
However, for NES Mini, the situation is a bit different: yes, we don't know how much they shipped yet. And the Japanese debut numbers (far higher than what I was expecting) tell me that it's possible Nintendo shipped big quantities as a whole for the launch (yes, I know you addressed this point in your video, Jim, but it still is valid to desire to see actual numbers to get a better idea of the situation), so that's something we don't exactly know yet. However, in the end, NoA's move (the NES Mini was available for pre-orders in both Europe and Japan) to NOT allow pre-orders for the NES Mini turned out to be something that made several customers anxious and furious when they couldn't get it in the launch rush, I fear much more than increasing the desire for the object, surfing the Holidays spending histeria. This goes more into the "manufactured scarcity" thing that Jim mentioned in his video, right because people couldn't pre-order it.
Nintendo has stated there will be more shipments in these weeks, hopefully things improve fast enough and like they should (like, finally reaching 10 units in stock at the Target store that Jim visited, at least XD ).