So what UL or NEC reference can I point to prove it isn't?
As is often the case, you're probably not going to find a single code to cite that says "you can't do that." You can however piece it together. Here's a start for you to get you going.
ARTICLE 100 Definitions
Grounding Conductor, Equipment (EGC). A conductive path(s) that is part of an effective ground-fault current path and connects normally non-current-carrying metal parts of equipment together and to the system grounded conductor or to the grounding electrode conductor, or both. (CMP-5)
Informational Note No. 1: It is recognized that the equipment grounding conductor also performs bonding.
Informational Note No. 2: See 250.118 for a list of acceptable equipment grounding conductors.
Ground-Fault Current Path. An electrically conductive path from the point of a ground fault on a wiring system through normally non-current-carrying conductors, grounded conductors, equipment, or the earth to the electrical supply source. (CMP-5)
Informational Note: Examples of ground-fault current paths are any combination of equipment grounding conductors, metallic raceways, metallic cable sheaths, electrical equipment, and any other electrically conductive material such as metal, water, and gas piping; steel framing members; stucco mesh; metal ducting; reinforcing steel; shields of communications cables; grounded conductors; and the earth itself.
Grounded Conductor. A system or circuit conductor that is intentionally grounded. (CMP-5)
Informational Note: Although an equipment grounding conductor is grounded, it is not considered a grounded conductor.
By definition, if you use the EGC to carry current through normal use, then you have changed what the conductor is, and now it violates a laundry list of other codes.