I stumbled upon the paper https://arxiv.org/abs/0704.1574 which claims:

"In all of the relativistic derivations, retardation effects are neglected, whereas in the original 19th Century derivations of the LW potentials or the corresponding retarded fields, no relativistic effects are considered. There are therefore two independent, logically incompatible, and incorrect, derivations of retarded potentials and their associated fields."

Also they claim the Jefimenko approach is just wrong. They present their own version of Lienard-Wiechert which they claim is better.

The math is complicated. Before I try to follow it, does anybody know whether this is worth doing? Is the author J.H.Field known as a crank who consistently gets things all wrong? Is it known that this particular work is wrong?