You must keep the established pivot until the throw is released.
If you do not do that, it is a travel.
However after a travel, you must establish a pivot at the correct spot, but it could be a different foot that you use.
But it is against SOTG to intentionally break the rules.
maintaining speed and still running in the same direction BUT pivoting one's torso
So by this assume you mean they were looking in one direction when they caught the disc, but then turn their body to look in a different direction?
We have a new annotation that describes what we mean by "change direction":
A player is deemed to be changing direction after catching the disc if there is sideways movement of their centre of mass before a pivot is established, or their pivot point is not established where their foot would naturally have stopped based on their previous motion.
So if they can manage to change which way they are looking, but still comply with the above annotation, then it would not be a travel.
But I find it hard to imagine a way that they could do this.