No. If I have my dog out and about with me and it decides to bite someone. They can sue me. My home-owner's insurance protects the bank from my being sued, I think. That is why, when you have a mortgage, they require it.
Get your CGC. I have never had to present mine to insurance companies or anyone else, but it is a good goal, and might make a difference to a potential landlord. When you go to rent a place, you do not have to tell them about every behavioral issue your dog might have. You tell them that he has his CGC which would be true. And you can back it up with your certificate. There is no lying going on.
At the same time, knowing your dog is territorially aggressive, you have to ensure that he never has any opportunity to exercise his jaws on anyone. That includes the landlord if they have to deal with something while you are out. So you might have to crate your dog whenever you leave. And after you are installed, I would let them know that your dog will act aggressively if they come in while he is crated. That is not that out of the ordinary. The dog cannot fun, he has to fight if there is a threat.
Heidi Ho, Odie
Joy-Joy, Bear Cub, Hepsi-Pepsi
Cujo2, Karma Chameleon
Ramona the Pest, Kojak -- who loves you baby?
Tiny Tinnie, Susie's Uzzi, Kaiah -- The Baby Monster.