Which UL standard(s) holds the specifications of all UL AWM styles of cabling?
I found some sources of UL official information. They're quite hidden in UL's website, which ain't great.
First you have to go to
UL.com / Resources  / Tools, Apps and Databases 

UL iQ Databases

Find the big tile named UL iQ Databases . From that page :

Certified materials are added to the UL iQ® databases on a daily
basis, making this information immediately available to thousands of
designers, engineers and suppliers. Leveraging this extensive
collection of data, UL’s iQ databases allows users to find, verify and
specify certified material and components that meet certain safety and
performance requirements.
Similar to the Online Certifications Directory (Product iQ), many
end-product manufacturers use this database to verify the
certification information of the components they intend to use in
their end-product applications. Through more than 20 possible
parametric search criteria, users can additionally identify multiple
components and suppliers who have UL Recognition with ratings that
meet the safety criteria of a specific end-product application.
UL’s iQ is made up of the following 12 databases:
Appliance wiring material (AWM)
Electrical insulation systems (EIS) 
Fuses
Labels
Plastics
Printed wiring boards (PWB)
Sign components
Solid state lighting
Surge protective devices
Switches
Certified water products
Wire and cable


Sadly, at this time (2021-03-08), the site throws an error when I click &quot;Learn more&quot; which I'm guessing is the way to access the actual database : &quot;Due to a system outage, the UL iQ Database is unavailable&quot;.

UL Product iQ

Then, if you go back to Tools, Apps and Databases  and click on the other big tile, named UL Product IQ

UL Product iQ™ combines UL Safety Certification information trusted
around the globe with the intuitive design and functionality of a
modern search engine. This intuitive search tool allows you to quickly
locate the product or component that will meet your needs. If you
don’t have an exact certification number, no worries. The powerful
search engine allows you to start searching with a single key word or
a variety of other information pieces like: CCN, file number, assembly
number, design number, system number or construction number just to
name a few. Refining search results with filters makes it easy to also
identify alternate solutions.
Product iQ has the data you can trust whether you’re verifying the UL
certification of a product or component, locating UL guide information
or searching for alternative products. This powerful database features
robust and intuitive search features, advanced search and filtering
options and access to UL guide information.
Many engineers, product developers, architects and other professionals
upgrade their accounts to enjoy the ability to:
Access printable UL certification letters
Save regularly used, custom and complex queries 
Leverage custom tagging and grouping of content
Receive automatic notification of updates to a search or file


So when you click on the link &quot;Start exploring Product iQ today&quot;, it finally brings you to https://productiq.ulprospector.com . This one lists all qualified vendor products built as per the styles. Not exactly what I'm looking for, but it's a start.