I'm a seller on Amazon.
The article is aimed at Amazon Sellers, those that use Amazon to store and post their items (marked as Fulfilled by Amazon) rather than the marketplace sellers that fulfill their own orders. This is so that Amazon have more warehouse space for the essentials.
Deliveries may be slower as they are selling more items, there will be less choice of non essentials as these are the items that Amazon are no longer accepting. Some of the marketplace sellers may also temporarily stop selling if they are experiencing staff shortages.
But, on the whole, Amazon will continue to run.