Its how I see Star Wars. If LucasFilm wants video games, and EA is contracted to develop and publish games for it. But it does not mean EA has 1st party rights to it. They are glorified contractors, or 2nd party until LucasFilm pulls the contract. Now if EA comes up with a Star Wars idea and wants LucasFilm blessing then its EA 3rd party, and LucasFilm 2nd party at worst as LucasFilm has final say on everything Star Wars. There is no 1st party in that scenario.
If Sony dreams up an idea and wants to pay another studio to create it then that is 2nd party. Did Sony have any involvement in the creation process after the handoff? It is all about business law and who has the initial idea and who funds it. Every party wants credit where its due. Its grey areas until the lawyers get involved. Just ask yourself, who thought of the product, who funded the product, who published the product?
Its a sweet little triangle of product development. 1-Developers 2-Investors 3-sonsumers. It all begins with the IP (branding), is it established or or something new? Did the person funding the project put in terms of funding that they get rights to the IP or not. When product is on market who has the IP rights? All else is secondary to that.
This is why Nintendo wins every case they take to court. They own the IP and brand thus they get to absolutely say what is brought to market and what is not.
IP law is super murky and why the lawyers get paid mega bucks to play around with definitions of the law.