No Rick, you did not lose a customer (unless you are a tire store only). You lost a money losing job to a big box, but that big box cannot do the other jobs you can. Concentrate on filling your bays with what you can make money on, not with what you wish you could make money on.
Sounds oversimplified, I know, but I have many regulars who buy tires at the big places and do the rest of their service with us and I am fine with that. When I do sell tires they are at a profit because I am the convenient shop for tires, not the cheap one.