Provincial courts do not bind courts of
other provinces. While cases in other jurisdictions are helpful and often referred to, they do not dictate the outcome (not least given the differences between Quebec civil law and the rest of Canada’s common law). Only the Supreme Court has the power to have its precedents bind all inferior courts, having judges appointed from both civil and common law provinces.
An overview of Canada's court system by the Department of Justice Canada
www.justice.gc.ca
The issue here is jurisdiction. Taking an action in Ontario on a matter whose contract requires disputes to be resolved in New Brunswick would be difficult to get past the start line, never mind a judgment.