"Should house prices be included in the CPI?" is not a good question to ask.
The best answer to that question is another question:
"Why do you want to know?" Or, "It depends; what are you planning to use the CPI for?"
Instead, it would be better to ask the question in a different way -- one that already answers that second question. Like:
"Should house prices be included in the price index that the Bank of Canada uses to define 'inflation' when it targets inflation?" (They aren't really included now, except very indirectly over the longer term -- long story (pdf).)