When fact checkers “add context” to a statement it exposes that the fact checking isn’t about correctness or truth, but rather about narrative control. Which means it’s biased and one begins to wonder what context they’re leaving out of all the statements they rate as true. In the end calling it fact checking is bullshit, it’s just propaganda. This is also demonstrated by the fact that fact checkers almost always have a range of rulings, some number of pinocchios, pants on fire to mostly false to half true to mostly true. Truth is binary. Contextual addition is trying to control how the reader feels about the truth. I.e. propaganda.
My name is Steve and I’m 35 years old. This statement is half true.
The speed of light is 3x10^8 m/s. This is false, but really not far from the truth.
I think given these examples, there is definitely room for a spectrum rather than a binary. Otherwise everything is false because language cannot 100% accurately represent reality, and therefore you’ll always be able to find an angle to claim something is false.