It depends a lot on wall thickness or surface to surface area. Also the type of glue is important. Use epoxy. I did a test many years ago gluing 3/4" square pieces of wood end grain to end grain. I was amazed how weak the joint is. I clamped one end in a vise and slid a 5lb weight out the rod past the glue joint. All of them broke with the weight no more than a few inches past the joint except the epoxy which held until it got about 6" out. Still pretty darned weak. I even tried using a glue sizing on the joint which recommended by many as a good way to glue end grain to end grain. Made virtually no difference. I tried Gorilla glue, CA glue, yellow glue, hyde glue and epoxy and I think another brand of Polyeurethane glue. CA was the weakest. Next strongest to epoxy was yellow glue where I applied thinned glue to the surfaces and let it sit for a while before applying the full strength glue. Still a very weak joint and only marginally better than the plain glue. Gorilla glue and the other Poly glue was amazingly weak.
I have however turned a fair amount of pieces similar to yours and not had a problem. If all the pieces are end grain and you have a fair amount of surface area you should be OK> I am currently making some salt and pepper shakers glued up this way. The top area only has a wall thickness of about 3/16. It is only 1" outside diameter but so far all have held. I'm on my 6th or 7th one. It's actually tapered near the joint so it's probably closer to 1/4".