Cable Type Identification

That seems to be shielded electrical or electronic cable type...I would guess for control wiring mostly...

https://www.carrmfg.com/blog/what-are-the-types-of-cable-shielding-commonly-used/

Sounds like a "foil shield".

"Foil Shields are usually constructed of an aluminum and mylar composite tape."

https://www.iewc.com/resources/technical-guide/popular-shielding-types

Looks like this:

http://www.yorkwire.com/PVC-Individual-and-Overall-Shield-PVC-220F-105C.html

Good luck with your quest.

Seems to be referring to Dekoron cables for instrumentation.

Is a simple phone call to the cable manufacturer out of the question, for some reason?

This cable has to be a telecommunication cable aluminum foil screened [usually longitudinally applied] and armored [also longitudinally applied armor].We did such a cable 30 years ago on a dedicated installation.

It is simply a screen over a pair of wires, (individual), to prevent unwanted electromagnetic voltages being induced on a pair of wires that could be used for measurement or control. Instrumentation usually.

Collective screen is when the screen is wrapped around the core of all wires. You can also get an individually screens and collectively screened cable in one. Hence each pair of wires is screened and the whole core of wires is then collectively screened.

Each screen is then earthed and depending on the run length, depends whether you earth both ends or earth one end and float the other end, in order to control circulating earth faults currents or induced voltages that can build up in the cable from other sources.

Normally there is a bare earth wire with each pair of screened wires which is in contact with the mylar screen, to enhance the earthing and screening of the wire pairs.

There are also high voltage cables that have conductor shielding to equalize the electric field stress on insulation, some copper tape and some semiconducting cloth shielding. A copper spiral wound tape shield is usually limited to a 15 times diameter bend radius, and some semiconductor tape shields are limited to 12 times radius, so you do need to be careful of the source for bending radius. The actual manufacturer data will be the most reliable, for your exact construction. A table such as what you show would not be adequate for contraction practice without a specific reference.

You are right rwilliams. For high and extra high voltage cable an aluminium foil is used as moisture barrier.

See[for instance]:

https://www.cablejoints.co.uk/upload/NKT_Cables_Extra_High_Voltage_132kV_220kV_400kV_500kV___Brochure.pdf