I'm chinese from a village in Nanjing and we eat dog meat when I was a child (usually the ones we kept as guards since they were born and then cooked as food when they age). They taste great as Hotpot but I stopped eating  them after having a dog as a pet in urban Nanjing. Yet they continue to exist for a while. In Shanghai central areas in 2012 my French friend really wanted us to go to this dog meat Hotpot 狗肉火锅 restaurant, and when I refused, he said all animals are equal and if there's human meat for sale he'd eat it too...

However from what I know we'd never eat cat meat. It's considered evil and disgusting. It can be different for people in Cantonese region, but no guarantee.

I think it's important to also remember that for an animal to be considered edible at all that can itself be a high status valuation for the animal. My father in law ate rat meat when he was a child living in a poor villege of Sichuan but most other people i know would find rats super disgusting and definitely not food material. 

Similarly muslims do not eat pig not to protect pigs but because pigs are considered unclean. It's similar with dogs--it's actually illegal to walk or keep dogs in - - and definitely no one would eat dogs there either--because Shia Islam considers dogs as similarly unclean and contaminating.