@dave r said:
Inquiring minds want to know. Was the texture applied to a component or group wrapper or was it on a surface made up of more than one face?
No... all faces are out in the open, so to speak and I'm painting one face at a time.
I did <alt>paint bucket on a left hand face and painted the face immediately to the right. Obviously one came out funky. Painting it again fixed the problem (no second doing of <alt> paintbucket).

It's intermittent, it occurs on any face on these berms I'm making, and it usually corrects on the second painting, tho not always.
In this next view the left hand set of faces are from the original profile shape, the center column of faces was just painted as I described above and the right hand set of columns are unedited, looking as they do after being created by the Vertical Extrusion plugin.

There are no groups or components... everything is a "free" face. The task I'm performing is to copy the texture from the left hand column to the one on the right, make a manual adjustment to account for the fact the shape is curving, and then copy that adjusted texture to faces further to the right (to speed things up I created the shortcut I mentioned several posts ago).
My shortcut T works on the left hand column of faces and a right mouse click displays the Texture... function. The shortcut does not work on the center or right hand columns, nor does the command Texture... appear in the right mouse click menu. And yes, a face is selected when I press T.
Y'all might think it's user error and it might be, but it is totally unclear to me how I might have done something to get into a situation where things work on one face and not another when I've not edited any attributes save what I wrote above.