I purchased this device
then attached an "original" USB C from Google (either Pixel 5 or 6a, can't tell which cable came with which phone), and it worked. (!)
No more sensitivity to position or seeming loose connection in the USB socket. The plug has the same level of play as the previous cables, but it never, ever loses connection and starts up more reliably.
I have no explanation other than there must be some part of the aftermarket cables that does not provide the same signal levels as the USB C to this adapter.
I think the definitive explanation would need to come from an electrical engineer involved in the design of these devices.
Something like this has already built the USB-A to USB-C conversion, including the VL160 chip I mentioned.
https://www.amazon.com/Adapter-CableCreation-Female-Charging-Converter/dp/B074V49MDK
https://www.amazon.com/Adapter-CableCreation-Converter-Charging-Chargers/dp/B074V4QBS4
If you're clever, you can incorporate one of these into your front case, and the port will be pretty good.
This one is an active adapting dongle that does what you want for this Logitech webcam.
https://www.amazon.com/Adapter-CableCreation-Female-Charging-Converter/dp/B074V49MDK
It's legit. My P6P was disconnecting nearly constantly (2018 Audi). Completely unusable. This was the only thing that fixed it. Same cable, same car. I originally saw it on the Google support forums and said no way, wrote it off as BS. Got desperate one day and ordered it and it hasn't disconnected since. Been several months.
https://www.amazon.com/dp/B074V49MDK?ref=ppx_pop_mob_ap_share