For my Greyhawk game -- yes, but now that we're up in higher levels & interacting with gods more often, each successive revelation about their nature & origins moves the cosmology further and further away from the core!
For the Masters and Minions series, we've used the core pantheon but referred to them just by their descriptors, not their proper names: the God of Retribution, the Witch Goddess. In the tournaments we've run, some old Greyhawkers caught & enjoyed the reference, while others had no problem getting into the "generic" names.
We did this for a couple of reasons. First, the goal of the series is to fit into the widest possible range of games by remaining faithful to the D&D essentials. Not every campaign uses Pelor, but most will have a Sun God, who might well be the same deity with different names in each universes.
Second, I found the stripped-down versions of the name to be strangely evocative, like when I walked into a store the other day that was playing a studio demo of a Beatles song: taking away the super-familiar outer layer gave me a fresh appreciation of the essence.
And lastly, of course, the proper names are core, but not OGL
I look forward to whatever you do with this research, Erik - you are the man!