I believe I answered the question? You asked whether these quantum fields have values at points. I believe there is a field-of-sorts, but that unless spacetime is discrete, the value of it at an individual point isn’t really a meaningful question, and even if spacetime is discrete, while the question becomes meaningful (as in, it is an observable), typically it will not have a determinate answer.

If there is no inside to a box, then knowing everything about how the box interacts with things outside the box, is pretty much everything there is to know about the box, yeah.

The study of physics concerns only that which we can observe/measure. Now, like I implied before, I’m not a scientific materialist, and I don’t claim that all-that-there-is is amenable to understanding through the lens of physics. So, like, I guess the answer is “No, I don’t expect physics to tell us everything I want to know about the nature of the universe, just all of it that is accessible to experiment.”.