Once again. No. How could he address his people as you say if he was being attacked by guards? How?
The guards of Solitude are mostly Nords. Even the Legionaries are mostly Nords.
If he is so Nord traditionalist, and so honorable, and so enlightened... why they tried to chase him?
If he followed the traditions, they just have to declare him High King and hail him.
But no, because HE MURDERED the King.