I don't know for a fact, so this is just my opinion. They do not make them like you more, no, but they may make the AI hesitate before declaring war on you. I believe the AI gets the same "warning" message before declaring war that we get, ie, "You have X amount of trade routes, they're allied with X amount of CS". I've definitely noticed that when I have a good number of CS allies and trade routes out, the AI is less likely to war me.