Alabama? and you're complaining cold shift issues? Quit being a wimp. All transmissions require a little extra effort when cold. Spend a winter up north.
There are different types and levels of LSD additive. Not all will affect your shifting performance.
Besides the synchros, there is other movement in manuals. The LSD additive seems to alleviate issues with linkages, forks, slides, pins, pivots,.......So, even if the LSD additive negatively affected the synchro, there could still be a net gain in shift feel if there are other mechanical issues being positively tweaked with the LSD additive.
I also understand that there is some ambiguity with VW OEM fluids and replacement service fluids. Since you didn't mention year, engine, transmission or spec required, hopefully you are using a similar to OEM gear oil. Some of the manual tranny VW VOA/UOA have shown that some transmissions come with a thin ATF/MTF/MTL-type fluid.
Also, as with any manual, bleed clutch hydraulics or adjust cables, inspect/lube shift linkages, replace worn bushings, inspect drivetrain mounts for play,......