Instead of focusing on mechanical systems requirements for trenches, I looked for structural requirements of the deck/concrete and pool itself. I'm also thinking that the design professional would have something to say about the backfill compaction requirements, your contract does state that "Engineer Plans Included". Who is the Engineer and have you seen these plans?
Was there a permit pulled for this work? If so by who? Usually the party that pulled the permit is responsible for code compliance and in signing the permit makes that promise to the building official that the work performed will be fully compliant. To that end your building inspector would also be a good resource in this matter. Usually whatever they say, goes.
IRC 2018 (same quote through IRC 2006, as far back as I checked)
R506 Concrete Floors (On Grade)->R506.2.1 Site Preparation->Fill
"Fill material shall be free of vegetation and foreign material. The fill shall be compacted to ensure uniform support of the slab, and except where approved, the fill depths shall not exceed 24 inches for clean sand and gravel and 8 inches for earth."
Later Section R506.2.1 "Vapor Retarder" specifically makes an exception for "patios or other flatwork" which I interpret to mean that exterior flatwork is intended to be covered by the remaining requirements of R506 (otherwise it wouldn't need an exception) I think its obvious that compaction is expected by the IRC beneath the concrete flatwork, although the code is vague (as it often is) on specifying the degree or method of compaction.
Where some people are using #57, or another gradation with significant voids.....that material does require very little compaction effort. The issue I have (in addition to Rich's) is the high voids, somewhere on the order of 40% for #57. In the presence of ground water (or a leak in the pool) fines can migrate into the voids causing settlement. Encapsulating the stone in a suitable geotextile filter fabric would address that issue. but so would using a well graded aggregate.
I would also be careful with using flooding for compaction. Without adequate care, I would imagine that the pressure on the earth retaining side of the wall could easily rise above the design lateral earth pressure due to the hydrostatic pressure and lateral saturated earth pressure. Probably not a significant issue with only 4 ft depth to fill though. Still something I would think the design professional would be interested in.