Point of clarification: I'm not arguing whether it made or lost money, but what Sony said. They clearly had a different agenda (get the rights away from a 100% stake situation) than making a great film.
Ugh ...
According to your Hollywood reporter and Variety (whom know the inside track like you said) both put it closer between a $40M - $50M loss.
http://variety.com/2016/film/news/gh...on-1201834911/
http://variety.com/2016/film/box-off...-2-1201816038/
But Sony said it made them $70M as of 2017. Up from $59M in 2016.
Sony reported a $30M ad budget. That's what they have on the books, you can't just make up what you want to fit your narrative. Sony has deals with the NBA to run cross promotions that are paid into already. Kinda like WWE running adds for their stuff on their own network. It doesn't matter the film, they have deals in place already. They don't "cost extra" ... it's been paid into.
Reitman, Dan, and other people in Ghost Corps indicated the main issues were Fieg refused to add in scenes for continuity purposes (which were included in the Extended Edition, which IMHO, is a WAY better film and what they should've ran with) and that Fieg went way over budget during reshoots and action set pieces. Fieg made too expensive of a movie for what they were trying to do. Murray, Dan, and Ernie said after they watched the film they loved the movie but were concerned that it had too much SFX stuff that would make it too expensive. And then Feig got permission from another producer to axe out more of the film. And then they asked him to pick a lane (go kid-freindly or lean into the R-rated end of what he wanted) but he went back and forth.
https://screenrant.com/ghostbusters-...rector-budget/
All your other stuff is speculative at best. For example, the sexist angle could easily of pushed the needle one way while the nostalgia act could've pushed it the other way.
The real problems the film suffered were:
1) being too expensive for what it was supposed to do (get people excited about Ghostbusters)
2) typical Hollywood political BS (producer meddling after one group agreed and then not reigning in the director after the fact).
^^^THIS^^^