Maybe this isn't a job for anyone who knows statistics, it's a job for research psychologists who know statistics and have found they're too pugnacious to be happy in a conventional academic career.
That would still not help them make their criticism, based on technical statistical grounds, understood or accepted among other psychologists who are poorly trained in statistics.
Simonsohn, a social scientist, investigates bad use of statistics in his field.
A few good quotes:
Laugh or cry?:"He prefers psychology’s close-up focus on the quirks of actual human minds to the sweeping theory and deduction involved in economics."
This looks like a clue that there's work available for anyone who knows statistics. Eventually, there will be an additional line of work for how to tell whether a forensic statistician is competent.