The white savior trope doesn’t typically involve the white savior adopting the entire culture, learning their language & customs and integrates so deeply into their society, Paul respects their ways and traditions.
It can.
See Avatar and the Last Samurai.
Jake Sully in Avatar didn't hate the Na'vi. He just wanted his legs back and undertook an infiltration mission to get the experience of walking again and then get his legs back in his human form.
He does bring fighting techniques he learned from the Bene Gesserit but the fremen are ferocious fighters and Paul barely survived 1 on 1 combat.
He immediately beat one of their best fighters in combat after being on the run in a terrain he's foreign too
.
There’s no reason to believe that the fremen wouldn’t eventually beat the Harkonnen’s, there were over a million fremen and the colonizers had no idea there were that many. Paul integrates so deeply into the fremen way of life that he feels more connected to it than his original culture. He doesn’t succeed because of inherent superiority, he’s fulfilling fremen prophecies that were planted by the bene gesserit, the path was set for him by others. Dune is a critique of blindly following a charismatic leader, the nature of power, authority, and intervention in foreign cultures. I don’t know what to tell you other than you’re factually wrong.
Paul is a superpowered/superior cac.
The Fremen are regular people, non cacs and oppressed by cac overlords for their resources.
"they ravage our lands in front of our eyes. Their cruelty to my people is all I have known." - Zendaya
"Our warriors couldn't free Arrakis from the Harkokenens" - Zendaya
This all changed because of outsider Paul. That's why Paul hasn't lost a single battle. That's why Paul is able to ride the biggest worm. That is why Paul is able to free the Fremen.
This cac came in as an OUTSIDER and did what NO FREMEN could do and you're here telling me this isn't a white savior