I have tried several different USB-C chargers (all PD capable) that all work correctly with my Osmo Pocket, but none of them will charge via the Wireless Module.

I have to use a conventional USB-A to USB-C cable, very annoying.

Hopefully something that can be rectified via a Firmware update and not a design issue.  

Any one else experiencing a similar issue?

Hello and good day onymar. I am sorry the you are having issues with the wireless module of the DJI Osmo Pocket. This is not the experience we want you to have with DJI. I will forward this information/thread to our DJI R&D Team. For further development of the said device and it's accessories. Thank you.

I have no problem charging via the wireless module using one of this connected to either a AC wall plug or a USB hub.
https://www.amazon.com/gp/product/B071SLW4DJ/ref=ppx_yo_dt_b_asin_title_o00__o00_s00?ie=UTF8&psc=1

Was this via a USB-C cable and USB-C PD charger?

The cable you list not a full USB-C cable, but an USB-A to USB-C cable which works fine.  

The issue is with USB-C at both ends into a PD USB-C charger with no adapters/converters.

Very annoying? It seems to work for you, those cables are not rare.

Too bad you didnt read my thread located here before starting your own (and even worse, DJI staff ignored mine) - or maybe i put it on the wrong place but hey this forum is so weird...

https://forum.dji.com/thread-178273-1-1.html

However, I think you are confirming my finding/bug :-)