The odd thing syn. is that enough people will have seen the portrayal to cause Mrs A B Caesonia's reputation to take a dive, from a bourgeois point of view I mean, and not enough will have read Tacitus to counterbalance the effect. Eventually she will become known as a dirty conniving scumbag although I don't suppose she will care. She might eventually replace Hecate in the pantheon.
Of course the programme may have been merely a literary conceit on which to hang an exploration of the female psyche with the lady head of the studio being in the scriptwriter's mind all the time. Or his wife.
The guys who write that stuff have got a bit beyond ordinary matters.
Have you ever read Anthony Burgess on what a novelist needs to do in order to minimise the possibility of getting sued for character assassination. Most creative writers have enemies. They grudge.