I think this is the original unit:
https://www.chargerlab.com/lg-introduce ... f-devices/
MODEL: LP90DG20H-WW
Part No: EAY65915322
It appears to be a smart power supply offering a range of fixed output voltages and currents according to the Power Delivery (PD) format. However, it also includes a negotiable supply voltage for the receiving device over USB-C using the newer (and less common) PPS* format:
Output: USB-C, supports PD and PPS
PD Output: 5V/3A, 9V/3A, 15V/3A, 20V/4.5A
PPS Output: 5V-20V
I'm guessing the reason your alternative supply doesn't charge the battery is because it's not a PPS type able to negotiate with the laptop to provide the required voltage.
*PPS = Programmable Power Supply — this is an optional subset of the PD format. A USB-C PD supply provides fixed 5, 9, 15 and 20V supplies.
A PPS supply allows anything between 5 and 20V, depending on what the destination asks for, and is increasingly required for the best charging of lithium batteries.
The idea is to avoid the need for complex DC-DC conversion in the laptop, tablet or phone. Instead, that job is offloaded to the external psu, along with all the heat...
This 100W fast charger claims to support PPS and might be a viable spare:
100W USB C Plug, Anker Prime GaN 3-Port Fast PPS USB C Charger, Compact and Foldable Design, For MacBook Pro/Air, iPad Pro, iPhone 16/15 Pro, Galaxy S23/S22, Note20, Pixel, Apple Watch, and More
https://amzn.eu/d/eKjbnK1