Update and report time on my limited slip rear differential that had broken breather valve when it was offroaded-muddy-ditch and abused by neighbor; thanks for anyone still reading...
It was about 3 months and 800 miles driving since the full flush and drain and refill (with presumably the right synthetic with friction additive included) mentioned above. The shuddering, mainly on slow turns and parking, had been intermittent; hadn't gotten better or worse. Some days a dozen instances, some days none.
Had trouble getting a friend, volunteer, or driveway mechanic to do the drain and refill again. Not up to DIY alone. Finally, with a relative on the phone that works as a mechanic-assistant at a Ford dealership several states away, YouTube, Google, and this GREAT forum, the deed was recently accomplished. (Thx especially to this forum.)
At the bottom of this posting is a picture of the recently re-drained DIFF oil. It sure doesn't have the nice black color one might hope for. True, it's not chocolate milk color and gritty like the initial draining 3 months ago. And it does not appear to have metal shavings nor does it move or swirl when large magnets are applied.
But it does look like water or (too much?) metal has taken it's toll; not sure what it means. The helper here thought this might be somewhat normal; and did not see leaks or cracks or other obvious compromise (though he did not take the DIFF cover off and do a brick-spray-out or other cleaning since my nephew at Ford mentioned that AFTER he had already added 2 of the quarts back in.) My nephew on the other hand saw this pic below said "looks bad".
Vehicle sounds better right now, just a few days of short drives and turns. A couple very mild shudders on some parking, an improvement from a week ago, anyway. I guess we wait and see now, drive it some more, maybe do the change a third time in a few months if it seems to be worsening or comes back full shudder force. Comments on the color of the drained (800 miles) DIFF oil pic (or on anything else) of course welcome... and THANKS!