“If ye love wealth better than liberty, the tranquility of servitude better than the animating contest of freedom, go home from us in peace. We ask not your counsels or your arms. Crouch down and lick the hands which feed you. May your chains set lightly upon you, and may posterity forget that you were our countrymen.”
Samuel Adams
Many of the Loyalists went to Canada after the war, swelling the numbers of English-speaking inhabitants there (although there were some already there before the war). In later times many Americans moved into Canada to acquire land--Jefferson thought it would be easy to conquer Canada in 1812 because there were so many Americans living there. I don't know what percentage of modern-day Canadians can trace their ancestry back to a Loyalist of the 1776-1783 era.
My chapter of the SAR has a Canadian-born member, who can trace his lineage back to an American patriot of the Revolutionary War.