Oh and you're also wrong about Eichner being the lead on some of those papers. I haven't checked them all but the Analytical Chemistry paper lists Cox as the corresponding (lead) author:
https://pubs.acs.org/doi/abs/10.1021/acs.analchem.7b02492?src=recsys&journalCode=ancham
The order of the names on the paper doesn't actually matter. Typically the first-author is, well, first, and the lead (corresponding) author is last.
There is one common exception though: When the person doing the majority of the work (first-author) is also the corresponding author, their name will go first, but they will be the corresponding author with the * next to their names.
Eichner is only getting his name on these papers because he provides the funding. He's a businessman.