I have no idea about a Amazon sale product. Has'nt the intention to search for it.
But i guess that depend on if the Analog Lab is a Intro or a Lite version. It's about the number of presets it has only.
It look like the Analog Lab following the Essential controllers on Arturias website is the same version as the version sold individually. I don't think that allways have been the case for the Essential controllers.
https://www.arturia.com/products/hybrid-synths/keylab-essential/overviewhttps://www.arturia.com/products/software-instruments/analoglab-v/overviewThere might be a price difference, if you own Analog Lab on it's own or you have it in a controller package, if you buy more software from Arturia - like V-Collection. At least some times every year, but perhaps allways. Your price for more software perhaps also depend on the price you have been paying. I don't own a Arturia controller, so can't tell for sure.
You can allways ask Arturia sale to be sure.