My take on this is that the LC and CGS pictures are taken by the same staff using the same equipment and set-up available to the at the time of capturing the images(a mounted high-end Olympus compact using artificial light, when I visited their offices about 2 1/2 years ago).
However, a while back the quality of their pictures improved significantly (I don't know what they changed). The background in Sword's LC pictures suggests the inferior setup was used for these, while the (obviously more recent) CGS pics were taken using their improved setup.
My theory is therefore that the time lag between the LC and CGS pics spanned the period during which they improved their setup/equipment/technique (although I would not say the recent improvements have brought them up to a professional standard).
Here are 2 examples of CGS pics of coppers (both graded CGS 80) using an earlier photographic setup, and a very recent one:
UIN 19254 circa 2011
UIN 39472 May 2016
Sword, can you lend any credence to this theory? When were the LC auctions for your examples, and when were they slabbed roughly, do you know?