Do I think a 5% advantage is significant in an impeachment poll? No. Not at all.
Regarding the 35% or so portion of the population that wanted independence from the United Kingdom, they were more energetic and determined, and as Churchill said, it's not the size of the dog in the fight, it is the size of the fight in the dog.
The radicals and activists were in that 35% so it gave them advantages in dragging the rest of the country along that were out sized to their percentage of the population.
Something similar may be true of the Southern states seceding, but the voters did in fact vote to approve what the radicals wanted.
Excuse me, but it was significant enough for them to go to war with England for decades before the Americans did. French and Indian wars? Seven Years war?
Canada and the colonies were proxies for France and England during global fights for supremacy. Were they in a position to complain about it like the American colonies did?
-PJ