Yes. It's the same as an English person having a EU passport. I have been to France a dozen times without my passport being stamped, but the airline would have scanned my passport.
This comes down to is Jersey / Guernsey considered a country? I have also noticed that Canada does not list UK as a country, I live in London and have selected England for my studies and work. I have traveled to Wales, Scotland and Northern Ireland several times as well and wondering is Canada considers them as separate countries.