I don't like using glue, silicone sealant or flue tape for making alcohol stoves, as it's generally unnecessary, and is an inelegant solution to the problem for low-pressure burners.
The fundamental problem with designs such as those at Zen or AGG is that they use can sections that only come part way up the burner, which gives a very weak structure, and a gap that has to be sealed.
It's much better to make one can section come the full height of the burner sidewall, and make it meet with the shoulder of the inner can, forming a robust interference fit that is adequately gas tight, mechanically secure and almost as strong as the original can. It also gives a full-height fuel cup.
This approach is used in the set of instructions I cobbled together for an OutdoorsMagic article a few years ago.
I really ought to encourage ZenSeeker to change the design on his excellent website...