Should King Charles live in Canada for a few months?

With the recent threats made by President Trump on Canada’s sovereignty, should Charles III, King of Canada take up residence in Ottawa for a few months to project Canada’s sovereignty? I believe this has never happened before. The Monarch only comes on visits, but never stays long term (though it almost happened once in WW2 when the British government asked the royal family to evacuate London—during the Battle for Britain—to Canada).

So, would this be a good idea? The King could live in Rideau Hall, and have weekly meetings with the PM. Would this be good optics and publicity for Canada and the monarchy? What would the UK think of it?