I know the difference which is why I specified not in power. The Greens, NDP, Liberals had elected members in the Canadian system of governance. If you want to be pedantic and argue that government in a parliamentary system refers to the party with the most seats in parliament and in control of the executive branch then go ahead. I find that pointless as you're ignoring the main thrust of my argument.
If you want to be pedantic and argue that government in a parliamentary system refers to the party with the most seats in parliament
Not even that. Canada currently has 338 MPs, 184 of whom are members of the Liberal Party; but only 31 of them -- the Prime Minister and 30 other Ministers -- are part of the government.
You seem to be getting government and parliament confused here.