I have a Jack Russell and a pair of bulldog mixes. They'll make more noise than my computer earplugs, if anything happens that I should know about. So no, at home, I don't really worry about it.
I don't use earplugs while driving, riding a bike, or walking near traffic.
Forward theaters have restrictions against using earplugs while on roads or sidewalks on base (you can use them in the gym); they would be a definite no-go in the field.
But at home, dogs are a very good thing.