I'm not quite sure I follow what you're trying to say. Not trying to be critical, just want to understand.
Do you consider the 50mm Lux ASPH a large lens? I have the 1st generation. Is there a newer, larger one that you're objecting to?
Regarding periphery versus corners, is there a meaningful distinction between them? Aren't they terms describing essentially the same thing -- areas of the frame at increased distance from the center that tend to be less sharp or less well corrected than the center -- with corners I guess being a subset, or more restricted definition, of periphery? But I'm open to being corrected.
And I'm not necessarily looking for a super flat field. When doing portraits or even people pics like the ones above, subjects are rarely lined up in a single plane unless we're doing the family-get-together kind of thing. In fact that approach can be pretty boring -- everyone in a straight line running across the frame, and all looking directly at the camera. I've done it when I had to in order to document a large family, and for that I'll agree that flat field could be an advantage.
But, a little field curvature might not be too bad, and it might actually serve to bring people positioned off center into greater focus.
I think I'm primarily concerned with having a lens whose qualities are capable of producing a more homogeneous image than one with noticeable sharpness falloff away from center. A little field curvature wouldn't necessarily be bad, although I agree some lenses are pretty horrific in that regard, so I'd probably avoid any like that which produce unpredictable results.