It does, slightly. And as Buck said, it’s more that your depth of field changes than your field of view.
But you also have to be aware that what you “see” isn’t as closely related to the optics of your eye as you’d assume.
Your brain is continuously building a 3D understanding of the entire environment around you based on audio and video information, stitching all those data points together. Your understanding of the environment is more like a 3D HDR reconstruction of what your eye can see than it is like a photograph. Your eyes will continually adjust to things like shadows so that you can know information about what’s under the table, as well as above the table, even though the top of the table is bright enough that your eye doesn’t have enough dynamic range to see that and the shadows at the same time.
The same kind of thing happens with your brain essentially focus stacking the environment. Your eye can’t keep the TV and your table both in focus, but your brain keeps track of what it knows is on both at once.
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