Relative to my 1/8 dado comment, yes, I think that shallow dados are strong enough for what I use them for. For instance, if I am putting dust frames into a cabinet, I would prefer to use shallow dados, like 1/8, and screws from the other side to hold them in place while the glue dries. It is hard to clamp this arrangement and the screws perform that function. If I use a deeper dado, it gives the screw less to grab into and I think it makes them less effective in clamping the joint.
My other observation is that wood is pretty strong in sheer. Even a shallow dado will resist vertical load well. There is a difference in glueing area but with modern glues I think the 3/4 or 13/16 on the end of the dust frame is enough. I get worried about glue on the outer surface and would probably not try and load up a deeper dado anyway.
As stated originally, the primary purpose of my shallow dados is not strength, however, I think glued and screwed butt joints are strong enough. My main reason for putting in the shallow dados is it makes it a lot easier to assemble the piece.
Jim