It's sounds like an interesting concept, but this way you will have to build a house and a half, because of the second set of different material walls. What is enticing here is the fact that after building the log home you would already have a
shelter that you could furnish with cob walls, wall at a time. Personally I would try to leave no cavities between the logs and the cob wall. They would be like a 20" plaster, but erected from the bottom. You would have to make wide footings to accommodate both walls. I hope that logs completely covered with cob would be ok - as the clay (and pure lime mortar) is supposedly compatible with
wood, but I'm not completely sure in this case, because it's something I never encountered plus in Oklahoma I think the summers are humid.
I did a similar thing in the following roof covering of my home:
-rafters
-diagonal sheathing from 2x8 lumber nailed to rafters with stainless nails
-clay/straw mortar
-ceramic pan and barrel rooftiles
So the mortar is tightly covering the sheathing, but the sheathing has gaps and it helps with ventilation, plus I'm located in a very dry climate.
If you left some cavities then eventually they will be a home to vermin and the cob wall would be a separate entity. On the other hand, the wood works - a lot and I assume you will use green logs for construction that will work even more, and they can easily break the cob wall attached to them. So as usually in case of using various materials, the greatest challenge is making them work together.