My temporary fix for wind noise from the driver side door:
TL;DR: Adjust the ventilation to use recirculated air
We bought a 2021 Palisade in mid-December and almost immediately went on a cross-country Christmas road trip. On the way home, we experienced some windy conditions (driving by the Windy City, as it happened). We checked this forum and found that lots of people had similar problems. I discovered, like many others, that putting some pressure on the door with my arm would make it go away.
It occurred to me that using recirculated air would cause the cabin to become a static pressure chamber, possibly making it more difficult for air to ingress/egress through the door, which causes that whistling noise. Turning on recirc immediately stopped the noise, and turning it off caused the noise to resume. The car has features to automatically switch to fresh air. We disabled these.
My problems seem to only occur when going 75+ in windy conditions. Perhaps this won't work so well for those of you experiencing the problem at slower speeds. Since we have a working fix, we'll probably hold off on trying to get a dealer to service it for a while unless it worsens.
I hope this helps someone out there.