Hi again,
I added several applications to the inside only on my hive bodies. When turning wood in my wood lathe I also apply this glue to hold attractive knotts n features solidly together so the wood doesn’t fly apart or explore as I turn it ! I apply to the inside only so the Tung Oil would look more even on the outer wood but the glue would hold the knotts securely in place as the wood expands n contracts in out damp to dry Seattle/Puget Sound weather.
. . Hope this explains what n how I did it. And maybe you could pursue a replacement top. I’d personally keep it if the roof looks great.
Good luck. Looking forward to seeing your results n Flow-hive too 
Gerald