Sure but when the game is a listed as a multiplat at E3 then becomes a timed exclusive at Gamescom + the amount of denial from SE/MS/CD that took no less than 2 interviews/3 blog post updates just to say it's timed that doesn't suggest it needed any funding in development it more suggests that talks were happening which is why it was revealed the way it was at E3 and the deal of finalised after E3 and formally revealed at Gamescom.
TF would actually be an example of them helping to fund a game because they initially had
13 months of exclusivity because of that but they went to EA after E3 and got a lifetime exclusive for Xbox/PC. We know this because it lines up with Vince Zampella‏ now
famous tweet. Which I see you have pointed out in your other post.