I like to think of Terran as Sanguis Astroism's foothold in the south-west.
Kinda. Maybe a little. Only to the extent that there are more SA followers in Terran than elsewhere in the southwest, I suppose.
But even though the two SA members I know of are the Chief Magistrate and a Duke, there is really very little feeling of SA influence in the realm. The majority of the realm is definitely Triunist and that influence is felt the most.