Heya k2viper,
The screenshot you shared
https://ibb.co/kXEWvS does not actually list every supported control code even though it implies it does. At least on the XL2540 0x40, 0x41 and 0x42 are missing from that list and the capabilities string completely but they still work just fine. You might find other such hidden codes exist for your LG too.
Those values, 0x3802 and 0x0180 could be interpreted internally as two separate 8 bit values. So 0x3802 would expand out to 0x38 (dec 56) and 0x02 (dec 2), likewise with 0x0180. Again I've almost no experience here but it's something to keep in mind.
Since you have the option to at least enable/disable strobing in the OSD you could try something like this:
1. Disable strobing in OSD, use Tools>Refresh VCP table to dump the result of all supported codes to the log then copy the opcode results to a temp file.
2. Enable stobing in the OSD, use Tools>Refresh VCP table to dump all the results again then compare the log result to the one from earlier.
You're looking for the value which changed to indicate strobing is enabled. If you can find this it's possible the other codes to tweak strobing might be located nearby.
If the above fails it's still possible that there are hidden VCP commands not revealed in the capabilities string. The only way I know to check them all though is to manually run GetControl on every code from 0x00 to 0xFF.