Attempt at changing your mind:
It’s not desert solarpunk because solarpunk implies a hopefulness for the future that does not exist in Dune.
Dune and Dune Messiah are tragic cautionary tales which warn against religion and the great man myth. It is supposed to warn the reader that religions take a life of their own and become a tiger that you can grab by the tail, but can never let go of.
On top of that it’s talking about oil as spice. If anything: it’s diesel punk just with an abstraction around the diesel.
Haven’t read the books, but isn’t Paul/Leto II taking the golden path ironically an implied long-term hope for humanity? >!Since it’s understood humanity will die out otherwise.!<
Leto’s golden path involves everyone breaking their dependency on spice (oil) and the only way he’s able to achieve this is through a brutal dictatorship.
Possibly if humanity had better self control and wasn’t constantly fighting for control of the spice (oil) then the hopeful future could be achieved without needing to remove everyone’s freedom and stifle innovation.