How very odd that nobody has come up with anything in response to this direct challenge...
What relevant documents are there for installations that do not use the tray as an EGC?
392.2 says that the primary function of cable tray is "a structural system used to securely fasten or support cables or raceways".
392.3(C) allows, but does not require, tray to be used as an EGC if the conditions of 392.7 are met.
392.7(A) requires metallic trays to be grounded the same as all other conductor enclosures per 250.96(A), if they are grounding conductors, or 250 Part VI, if the they are not grounding conductors.
392.7(B) are the requirements that must be met if the tray is intended to be an EGC.
I am still looking for the code that requires the tray to be 'UL labeled'. 392.3 simply requires the tray to be "identified".
The UL White book says their classified label on the cable tray is only applicable if the tray is being used as an EGC.
UL Classified items have only been labeled for specific applications and/or installation conditions. This means that every use and reuse of cable tray needs to be fully evaluated to see if the installation meets the conditions under which the items were classified.
If the tray is not an EGC, the UL label is meaningless.