Well, it may have been a great big DUH! on my part, but, after correcting that, there's now a DUH on the camera's part, too. It's still not AFing on birds coming to the perch, whether they are coming from the back or anywhere else.
To recap: 90d, 300/2.8, 1/1000sec, ISO 1600 or less , f/5.6 or so, perch at about 25 to 30 feet, all AF points selected (full area), AF range set to FULL. The camera is on a mount and I use a cable release; the perch, itself, is near the bottom of the AF area and the camera AF will lock on it. When a bird is first seen approaching the perch I start a high speed shutter sequence using the optical VF, not LiveView and run 3 to 10 frames in a sequence. The AF settings are set to give the fastest tracking and AF actuation. Most of the time, the birds are approaching from the left rear, so crossing the AF area to the middle. There are frames with the bird on the far left, mid-left and center, so a perfect sequence crossing part of the AF area. The only sharp frames are with the bird settled on the perch.
NONE of the frames with the bif approaching the perch was sharp, although the perch itself remains so, as it was at the start of the sequence. The bird is black and white, mostly, is much larger than the perch and in the same light. In some of the frames the bird is almost at a stall, just before touching-down, so speed should not be an issue at 1/1000 sec.; wing tips, sure, but not the head and body.
For my next tests, I'm thinking of using a single or small group of AF points just above the perch. When I do so, the camera AFs onto the background and will have to pull forward when the bird is in it. That doesn't seem like a recipe for success, but, maybe.