Not sure it did limit freedoms of Loyalists post Revolutionary War, however during the war I imagine ones that lived in Revolutionary controlled regions were restricted in movment and expression. Most Native Americans however, sided with the British because of the proclamation of 1763. This was an outcome of the French and Indian War and prevented colonists from expanding west of the Appalachians to prevent more conflict with natives. Colonists did not like this, they wanted to expand as far west as they wanted.