Marc, I use Tite Bond II on all my stoppers whether smooth or threaded stud. There is just enough glue room and when the glue dries, there is no way that stopper will come out. We tried to get one apart and had to heat it to melt the glue first.
CA will break down in time, especially if it goes in and out of a fridge.
Some turners say they like the tops to come off for washing purposes. A bottle stopper doesn't need to be scrubbed, just wiped with a cloth and if you take the top off and on, after awhile it will be loose and need to be glued anyway.
The threads will chip on certain wood. Some turners put a drop of CA on the threads once they learn which wood needs it but as long as it's tight when you're turning the stopper, that's all that really matters.
Hope this helps.
Ruth