Joe in a Cleveland suburb
Things are getting a little mixed up in my head now, but...
"Was one, or more, edge concave of convex? "
One edge, the jointed edge was concave.
Also not clear is whether you jointed after the sawing.
I did not joint after sawing. I jointed one edge, then put that jointed edge against the table saw rip fence the get a clean straight parallel opposing edge. I used a glue line rip blade.
If both edges are straight, but rough, I simply joint each edge. For each successive board in a panel I alternate whether the show face is against the fence to cancel any error caused by the fence not being exactly orthogonal to the blade tip.
For some reason I was not jointing the sawn edge. Maybe I was creating a problem somehow by not doing that. Normally I would joint both edge. I alternate the boards as you describe.