The argument is based on theory of historical fraud that is somehow become a mainstream and goes unnoticed. g-factor has been measured again and again. The problems with renormalization have been known. Initial theories have been refined and reformulated to be better, criticizing outdated formulations does not change physics.
It's a conspiracy theory with sparkle of equations.
Crank science is easy to separate from non-mainstream approaches. Crank science is "everybody is selling nobody is buying" business. There are no physicists inside *or* outside mainstream who buy Consa's crank theories.
(I explained why the narrative is not valid in another comment).
One can get grants in physics nearly only if being mainstream ...
Consa brings concrete arguments regarding g-factor, I still haven't seen any concrete explanation, only saying that it is fringe science because of criticism of mainstream ... but he quotes mainstream papers.