They like to pretend that they care for animals. Killing them is not care. It is not my line of attack. I just think they are Pharisees.
I think that a family who puts a beloved pet "down" would say they are doing it out of compassion for that animal, to end their suffering. So I think any family who has had to go put a pet down will not think its hypocritical to both care for an animal and to practice euthanasia. That's just me.
I think PETAsupportsterrorists.com or PETAwantsyourkidtodie.com would be much better.