This is a nitpick but I think you will find that the gender of god is up to debate between male and non gender. Genesis does say that he created humanity in their image both male and female.
The problem with the definition is that, whilst it might be technically correct but this is also true of most communication to various degrees.
The non official definition (a.k.a. the stigma) is it is either a lie or highly misleading which is not what most of us would believe. I certainly don’t think it’s the objective.
I feel that the stigma is the only thing that propaganda bring which isn’t already in one of the 5 other categories.