I also had a stalker ex and I agree with you that ignoring is much better than blocking! The reason is simple - blocking is an actual action you make, the ex messages you and receives a reaction from you, which is blocking him. Doesn’t matter that you’re blocking him, for him it’s basically getting attention from you, which was his objective all along. Instead ignoring him doesn’t give him the satisfaction of having a reaction from you. I stopped blocking my ex and ignored his messages instead, eventually he stopped. Perhaps you can explain it like this to your boyfriend, your strategy is definitely the best way to deal with this situation (unless of course it gets to the point you need to contact the police)