Yes all vertical sides or "walls" are some form of construction. Whether galvinized steel, aluminum, or polymer, or other structural technique .
Everything else, the angled deep end, below the walls, the slope from the shallow end to the deep end, and all the flat "bottoms" are some sort of troweled material. At first it was sand, sometimes stone dust, sometimes a mixture of sand and grout , and more recently (historically) a layer of vermiculite. In rare cases I've seen concrete. Any one of them is adequate once the liner is installed an filled with water. A more substantial "bottom" material will hold its shape better though, over the years, and if there's a catastrophic failure.
But I've taken liners out with all sand bottoms that are as pristine as when the pool was installed. It depends more on how much care the builder took compacting these areas before applying a final layer of any material. The draw back to sand is when a pool is abandoned and empty for a long stretch. It begins to dry and collapse. Verm will do the same thing but it takes much longer.
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