No. Facts would require all of this to have been directly communicated to us by an episode or multiple episodes over the course of the series. This is just an interpretation of the information we have been given on Trixie.
Of course being an interpretation isn’t a bad thing. Not actually being factual doesn’t mean it can’t be persuasively argued and accepted by a number of people as something akin to fact. There are clearly a number of people who believe many of these ideas are true.
But in lieu of any actual confirmation on Trixie’s mental state and the psychology behind her motivations and deeds, it still has to remain an interesting idea, not fact.