Honestly I feel like this is a poor argument to convince someone to stop eating meat. Many people have dogs as pets that they bond with and consider part of their family, and grieve for when that pet dies. Less so for other animals that are widely butchered for meat. I feel like if people had pet pigs or chickens that they bonded with, they would be much more likely to not consume those kinds of meat, but they don't.
In short, there are other, more effective arguments to be had that meat-eaters wouldn't dismiss as readily.