It does not matter. Renewing itself can be seen as act of re-connection with your home country. One of the purposes of your passport is a proof that you are under protection of the country that has issued the passport.
So it can cost you residency and citizenship.
If you want to travel use your refugee travel document. If it is not accepted in some countries than you cannot travel there until you are Canadian citizen. That is the price to pay for a refuge.