I can't remember, but didn't we ascertain further up the thread that v3.06 adds absolutely no functionality (nor fixes the few annoyances), anyway. So I doubt it's worth anyone bothering with.
You can't determine that from the naming convention displayed by the app. Sure, the naming convention differs by 3.06 from 3.04 but there's really no way to know unless you have the internal changelog from LG or have a means to check each individual firmware file *.bin from both software packages. So, it may/may not add any bug fixes. I doubt that the naming scheme would change for no reason though. So, the change in the naming could be software changes which only apply to a specific hardware change which didn't warrant applying for a completely new hardware license and would not apply to older displays. For example, changing the USB hub controller chip to a different manufacturer/model, among other similar revisions.
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The last batch of monitors I bought came with 3.06 but can’t find this firmware available publicly anywhere.
If you don't mind, then it could you copy paste the output from the text file, LG.txt, which would be created in your home directory.
Code:
/Applications/LG\ Screen\ Manager.app/Contents/MacOS/./LG\ Screen\ Manager > ~/LG.txt 2>&1
I would like to compare the hardware enumeration for your LG 5K with the 3.06 firmware. I've posted the output for mine in another post which has the 3.04 firmware. Thanks.