You have assessed light performance and inclusions.
To assess cloudiness, take both stones to a strong light source. Look for any scattering of light, especially in the G. Think of the difference between strong light reflected off of clean mirror and slightly dirty mirror. Also view from the side. Think of the difference betwen clean water and water with a half drop of milk.
Would direct sunlight be a good source for testing the transparency? We had a beautiful sunny day and both took on a slightly blue color. I was kind of surprised. The G has faint fluorescence and the H says negligible fluorescence. They looked identical to me. My daughter said the G looked slightly more transparent to her. Neither looked as transparent as my oval. I don’t know if that’s because of the different facet pattern or its IF clarity. It’s probably not a good idea to compare transparency of a round to an oval, right? I did not view them from the side in the sunlight. I will do that tomorrow, and look for a very clear water like appearance from the side. Thank you!