I just called a local BMW dealership(East Bay BMW and Mini in Pleasanton, CA) and spoke with a person in parts to ask if they sold the cv joint grease separately.
He said the grease is only sold as part of the cv boot repair kit.
When I asked if he knows whether or not the outer and inner boot kits contain different greases, he said as far as he knows from the picture (I guess on his parts screen) it's the same grease that's pictured in the outer and inner cv joint kits.
He said he has several of the outer kits ($105), but inner ($88) has to be special ordered.
When I told him that I read on the internet that the greases are different, he put me on hold to talk with a technician who told him that the tech replaced a front axle/drive shaft about an hour ago, and used the same grease for both inner and outer cv joints.

Could it be that from BMW factory during assembly they use a different grease for the inner cv joint, and then when it has to be replaced they just use one type for both outer and inner?

Can someone who has bought and placed the inner cv joint boot repair kit, the GKN Loebro brand, please chime in here and tell us if the greases seemed different?