But then I went to prepare it for printing on a relatively wide-gamut paper (Canson Baryta Photographique), and softproofing showed somewhat similar problems, which I wasn't able to correct acceptably. The reds I had produced were well out of gamut for the printer/paper combination. The major culprit, but not the only one, was strong selective color adjustments, one global and one local, in which I pulled cyan way down in the reds.
So, I started from scratch. I did copy some layers to a new copy, but most I did the editing again from scratch. I did all of the editing with softproofing turned
on for that same paper, toggling back and forth initially between relative and perceptual colorimetric rendering until I decided on one for this image. The resulting image still looks much better with soft-proofing turned off, but this way I got an image that I think is acceptable for printing.
I'm wondering whether other people do something similar. It wouldn't be necessary for most images, of course.