I'm curious about how you 'harvest' a section of tube without it unraveling.
Maybe cut it around, remove the little bits of yarn, then unravel a ways on purpose, and knit the unraveled yarn through the edge like a normal bind-off?
Thread a flexible needle (usually called "circular") or a wire through a full row near the cut, unravel the remaining rows, then take a fine crochet hook to chain the loops together.
Or just hem it, but that doesn't look like what she does.
Circular knitting typically uses a technique called "grafting" or "Kitchener stitch" to close tubes seamlessly without unraveling - you'd temporarily secure stitches on holders, cut one strand, then use a tapestry needle to mimic the path of the yarn through the live stitches.
You've likely worn knit socks and T-shirts -- they're machine-knit. A lot of clothing is knit, not woven. Fabric does not have to use big and chunky threads to be knit; the loops can be quite a small gauge in size.
I don't think I've ever seen socks or T-shirts that weren't (machine) knitted. Knitting produces more stretchy fabric than weaving so it's better for garments that fit closely.
Maybe cut it around, remove the little bits of yarn, then unravel a ways on purpose, and knit the unraveled yarn through the edge like a normal bind-off?