An actual gun safe (advertised as such) will just make it slightly less likely for an ignorant yahoo that works for a service that has a strong anti culture to ruin you financially with improper storage charges. I'd bet that most of the TPS still believes that the official reason behind the storage regs is to prevent theft. Note to the uneducated: It is to prevent instant access that may (theoretically) facilitate a heat-of-the-moment killing (including suicides).
You may find this article useful: http://www.ontariooutofdoors.com/hunting/firearms/?ID=12&a=read