Executive Producer = CEO, COO, CLO, anybody with decision-making power
Lead Writer = lead designer, i.e., the Johnny Ives
Writer = designer
Director = project manager or product manager
Producer = the weird old guy who let you use their house during your ramen phase, that investor who thinks he cofounded your startup because he gave you a bunch of money, the salesperson who landed the really big client and was given the recognition for it
Wow, I think this is probably one of those things trying to be funny but just isn't. Maybe you're just totally misguided on what a producer does, which may be the joke you're trying to make that nobody knows what a producer does.
The producer would be closer to the president of the board while the director would be the CEO. The producer and director work closely to get the project off the ground, with the director have say on who is hired for the key roles (the lead person for each craft). These keys then can staff out around them and the director rarely interferes unless there's just something personal going on.
Who the creator/founder equivalent is really differs between projects. Sometimes, the producer has the idea and staffs around it. Sometimes, the director has the idea and also acts as a producer or just staffs the producer out to someone. Sometimes, it's the studio's idea and staffs everything out.
Maybe you're just totally misguided on what a producer does, which may be the joke you're trying to make that nobody knows what a producer does. The producer would be closer to the president of the board while the director would be the CEO.
This is false. It seems you don't know what you're talking about. OTOH, I have worked with multiple studios including Fox (now 20th Century), Searchlight, Vendome, Canal+, and Lightstorm.
The executive producer is similar to the CEO or other executive; hence the "executive" in their title. They are in charge of the overall production, but not the creative aspects of the film or episode, and usually are not involved in the day-to-day operations. A regular "producer" can be anyone involved with the day-to-day operations of this production, and this title was once given out like candy. (Look at the credits for Top Gun: Maverick, for example: David Ellison is credited with a "producer" title despite having no actual involvement with the movie beyond being the CEO of one of the studios funding the production.)
The director is not involved with hiring crew, unless they also act as a producer (aka, the "auteur" school). These days, many directors also executive produce their own films (e.g., Nolan, Cameron, etc.), but many don't (e.g., almost all Disney movies). The director gets to provide input as to who gets hired, but quite frequently the main crew and cast will already be attached to the film. Notably, directors can and do leave films all the time (e.g., Rogue One, Justice League).
Who the creator/founder equivalent is really differs between projects. Sometimes, the producer has the idea and staffs around it. Sometimes, the director has the idea and also acts as a producer or just staffs the producer out to someone. Sometimes, it's the studio's idea and staffs everything out.
This is true for a few films, but the vast majority of films start with a screenplay that has come across the producer's desk. Auteur directors might produce their own ideas (e.g., Lucas, Shamalayan, Nolan, Cameron), but even they will usually start with an idea they acquired from someone else (Shamalayan: Old and Cabin at the End of the World, Gunn: Guardians of the Galaxy, Nolan: Insomnia, The Prestige, Batman Begins, Spielberg: almost all of his films, etc. Look at IMDB to see the production credits they have far exceed the films they actually direct).
Investors = Investors
Studio = VC, etc.
Executive Producer = CEO, COO, CLO, anybody with decision-making power
Lead Writer = lead designer, i.e., the Johnny Ives
Writer = designer
Director = project manager or product manager
Producer = the weird old guy who let you use their house during your ramen phase, that investor who thinks he cofounded your startup because he gave you a bunch of money, the salesperson who landed the really big client and was given the recognition for it