Now that's a theory I can get behind

Of course, men and pairs naturally have a longer maturation period and shelf-life. Top ladies are like cottage cheese but St Petersburg is better at making cheddar. Both are tasty and good...
Mishin strikes me as being old enough not to bother with politicking (and not exactly influential either). He usually shies away from controversial media, unlike one of his ex-students... His trademark non-strategic choreo/jump layouts just make me think he gives short shrift to gaming the scoring system, let alone trying to bend their rules. Plus he has stated in the past that he prefers coaching men.
Rukavicin might be more likely, since he has quite a few young teen/early adult ladies who are lovely skaters but have been ousted from the top by their prepubertal compatriots - Nugumanova, Gubanova, Talalaikina, Leonova (if she hasn't retired yet). No other major SPB ladies' coaches come to mind.