You are right about not giving the name Jehovah pre-eminence, the first century Christians in all probability did not utter the name, though some will argue about that, and maintain it was written in the N.T, though no manuscript evidence for that exists. The latter point showing to me that the pre-eminence was given to the name of Jesus.
I have noticed a slight lessening of the use of "Jehovah" in print by the Org, or am I imagining that ? But if that is so, it is purely for marketing purposes, as shoving the name into the Public domain does not go down well. The Logo itself, JW Org, does not make it so prominent does it ?
JW Org has always tried to shove Jesus in to the background, especially noticeable in their Meetings, where mention of him is somewhat rare., in comparison to "Jehovah this " and " Jehovah that " and multiple uses of the name in Prayers with Jesus getting a cursory nod at the end.