Your last sentence is a little confusing, if you're implying you could use your human capital and work, you're clearly going to be beholden to other people, and can't say fuck you to "any job, any time". In addition to that, we're back to the idea that 50k a year is fuck-you money, which it's not.
Long tangent incoming.
Fuck-you money is getting confused with a comfortable level of money. Most people will never ever get close to fuck-you money. Fuck-you money is black cards and reservations almost anywhere because you tip ludicrous amounts. It's being told the plane is full so you just upgrade to first class (if you weren't in there to begin with). It's being able to turn down any job because you could easily live at the same comfort level without it. It's only working because the work brings in stupid amounts more cash (that you probably can't figure out where to spend) or it offers you more than that (influence, stimulation). Just being able to say no to a job is not the same as that.
"The exact amount of money required in order to tell an individual or organization to go fuck themselves without facing repercussions."
Keep the term confined to what it literally suggests and use "financial independence" for never having to work again.
(I could have gone jobless another ten years or so, but that would be dumb since I wasn't financially independent and would miss out on compounding.)
Interestingly, even fuck-you money didn't help me with landlords. They didn't trust someone with no job and a big pile of cash. I ended up living with someone else but not able to get on their lease.
There is a big difference between having enough money to quit one's job for a year or two (and good for you!) and having enough money to quit working forever.