Hi,
I tried all hints described in this thread without luck - F710 refused to work on my gaming PC.
As a last resort I plugged in wireless adapter into my HP laptop (also running Win10 2004) and to my surprise it was detected correctly.
Comparing registry entries I noticed that key Computer\HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Control\usbflags\046DC21F0305 contains only 1 REG_BINARY value on my PC (osvc: 00 00) while on HP laptop there are 2 REG_BINARY values:
osvc: 01 90
SkipContainerIdQuery: 01 00
From device manager I removed "Wireless Gamepad F710" device, unplugged wireless receiver, restarted PC. When it started I set the values of the above key as on my HP laptop.
After wireless receiver was plugged in it was detected correctly:
This was the only change I had to do.