partial addressing:
The terms "thruster" and "jet" appear to be interchangeable terms used to mean generally the same thing:
https://www.apr.org/news/2024-06-22/nasa-delays-landing-of-the-problem-filled-starliner-capsule-until-july
Starliner has a series of chemically fueled thrusters in a compartment attached to the crew capsule called the Service Module. A test firing of the jets on the vehicle showed they’re overheating, possibly due to the frequency of the thrusts, or “burns,” that are needed to return the astronauts safely to the Earth.
or
https://www.nasa.gov/news-release/nasa-commercial-partner-boeing-tests-cst-100-spacecraft-thrusters-2/
test firings of its steering jets
The tests assessed how the thrusters — which fire with 1,500 pounds of force
the OMAC thrusters were fired in a vacuum chamber that simulated the space-like environment at an altitude of 100,000 feet. These evaluations put the thrusters through the burns and stresses they would encounter during a real flight. Engineers equipped the jets with a host of instruments to measure changes in the smallest components.
Low Impact Docking System (LIDS) was something that NASA was looking at from the 80s through to the 90s, towards the end it was part of the X-38 program. When that program went, it went on to become part of another program, Constellation. In 2010 the International Docking System Standard was formed to standardize docking adapters, and NASA developed its NDS - NASA Docking System - from what used to be known as LIDS to conform to the new IDS Standard.
Once the Shuttle program was over, the PMA docking collars were adapted to the new IDSS by adding a 'new front porch' on to the PMA, the International Docking Adapter (IDA), that implements the passive version of the NDS.
Dragon and Starliner implement the active side of the NDS to dock with the IDA on the PMA on the ISS.
Orion has the NDS and the Gateway Lunar station will be equipped with it and ESA has its own implementation but compatible version of the IDSS.
So in terms of derivative, you can say that NDS is derived from LIDS.
https://ntrs.nasa.gov/api/citations/20170001546/downloads/20170001546.pdf
http://dockingstandard.nasa.gov/Documents/AIAA_ATS_NDS-IDSS_Overview_Draft1.pdf oops https://web.archive.org/web/20111015075220/http://dockingstandard.nasa.gov/Documents/AIAA_ATS_NDS-IDSS_Overview_Draft1.pdf
https://ntrs.nasa.gov/api/citations/20090007783/downloads/20090007783.pdf
https://ntrs.nasa.gov/api/citations/20180004167/downloads/20180004167.pdf
additional:
The NDS Block 1 includes
provisions for capture, structural attachment, power/data transfer, and undocking. It uses a direct-drive
electromechanical Stewart Platform capture system architecture, along with an innovative automated
control scheme, to achieve an unprecedented level of performance and simplicity. Its design implements
the new International Docking System Standard, which will be a key enabler of diverse and flexible
exploration missions. NDS qualification was completed in 2017 to support a planned first flight in 2018 on
the Boeing CST-100 Starliner.
NASA’s newest docking system evolved from systems developed during the Apollo-Soyuz Test Project. The last US built docking
system, flew in support of the ASTP, and following this NASA commissioned the Space Division of North American Rockwell to conduct trade
studies on docking technologies used.
Interface Definitions Document for using, installing, and interfacing to the NDS Block 1 that will enable successful docking to the IDA (ISS):
https://ntrs.nasa.gov/api/citations/20150014481/downloads/20150014481.pdf
For clarity, SpaceX, as an independent commercial contractor, built its own IDSS compliant docking ring with active (moving) hooks that enable it to latch onto the static (passive) hooks of the IDA, that is permanently attached to the PMA of the ISS.
Boeing, as a NASA contractor for the NDS, built this as part of the Starliner anyway, and is therefore naturally IDSS compliant. AFAIK both Starliner and Dragon lack the parts that allow them to be passive.
Going by NASA's documents, the history of its NDS goes all the way back to the days of the Apollo-Soyuz Test Project in 1975, LIDS of the Orbital Spaceplane Program in the 1990s, through to Starliner, and on to Orion (and Lunar Gateway).