sorry, you should correct that to :
you will miss out on everything worthwhile
Do other people's lives seem more worthwhile to you because they have some relationships with people you'd care nothing for? Not to me -- the worthwhileness is an entirely subjective feeling for them. Whereas suffering is a real thing that subtracts much more from life than worthwhile adds.
It's the thesis behind one of the world's great religions.
If you are talking just from the elimination of suffering angle, sure. But they make the theological case that the absence of suffering itself leads to a state that is far more than just the absence of suffering. I don't think we can or should take that as a given, just as we don't take other theological truths as a given.
Imagine for a moment a person makes the decision to commit suicide but needs to stay alive for a while longer in order to complete certain professional obligations. Would it be appropriate for that someone to form attachments, to be selfish and make friends knowing that he will hurt them terribly when he kills himself? If one of them were to be the one that discovers his dead body, or by the ones coping with his disappearance?
Or is it better that he do the right thing, and sever any attachments that may exist so that they won't get hurt when he does kill himself? To contain the suffering to just one single individual.
I find it hard to believe that you could read a story like this one and what you come away with is the idea that dogs bring suffering.