All of Canada is more North American than European.
The extent to which European proximity matters varies from place to place.
The average English-speaker in Toronto is probably not going to be especially connected to the United Kingdom, and those who are may be connected it through their Indian heritage and cricket as much as anything else.
Quebec is probably the most uniformly close to Europe for linguistic reasons. It's the closest reasonable linguistic peer.
Here the British connection is still very strong. All of us have grandparents who drove on the left. Mrs. Brown's Boys is our equivalent of The Office in terms of which sections of society talks about it and how often. Coronation Street is, by far, the most popular non-news television program in Newfoundland. We eat pease pudding. The entire coastline of Newfoundland is alight on Guy Fawkes night. We have a military parade for Battle of Britain Day. Officially, we call it Armistice Day, not Remembrance Day. There are large British imports sections in the groceries. Even cardboard cutouts of the Queen to pose with:
So you can feel an institutional, conscious connection to England - but it's forced, it's tradition. It's not effortless, it's not contemporary. That unthinking, soul-to-soul connection is with Ireland. There isn't an accent or word here you can't find there. Our faces and surnames and folk songs and cuisine and music and sense of humour and emphasis on education and resentment and the diaspora... it's all identical. You can check just about any video from or about Newfoundland and at least one comment will be from an Irish person expressing amazement at how similar it all is.
Irish Times: The most Irish island in the world
The residents of Newfoundland don’t like being called ‘Newfies’ or Canadians, but you can call them Irish.
https://www.irishtimes.com/life-and-...orld-1.1538579
So, short answer is a flat, easy "NO!". But within that minority of European influence, some places have it strongly, others don't have it at all unless you keep it as foundational and shallow as "forks", "English", "voting", etc.