As a dedicated faceplate turner, I prefer roughing nice pieces of wood for seasoning bowls in a chuck. The obvious reason for this is you don't have to use screws in that fine piece of wood. Gerald, I have to ask why your tenon broke off. With the exception of excessively deteriorated pieces of wood, there are only several reasons why the tenon can break away......and, they all have a fix. The reasons are not tall enough tenon, too much bite being taken with the lathe tool, or a catch. Not having as sharp as possible tool could come into play as well, since they will resist the cut, consequently creating more force in the roughing process. However, even if the tool isn't as sharp as it could be, it still can be done by taking smaller passes, or bites.
I have had a tenon break off in the past, but I don't think it's happened in the last decade. The fault was always the circumstances I created in doing it.....not the general method in itself.
It's true that the roughed bowl will warp, or become narrower across the grain, and this applies to a lesser degree with the small overall space included in the tenon. Not only will the tenon become narrower across the grain, but sometimes there will also be a slight curvature to the very bottom. I usually mark the location of the third jaw, so that it's in the same place when re-mounting. If the curvature is significant, it will also be necessary to rock the warp slightly in the jaws, so that the deviation is equal on opposite sides before tightening the chuck.......this will position the bowl so that the least amount of waste is required for the final turning.....(or, in my case, preparation for mounting the waste block.)
ooc