I disagree. If you take statement X to be "you don't like them" and Y to be "they're your enemy". Then OP said "Just because X is true, it doesn't mean Y is true". In other words, "X does not imply Y". Meneth said "yes it does". In other words, "X implies Y".
All enemies are people you dislike and / or people who do things you don't like. This does not make the opposite true, not all people you dislike or who do things you don't like are your enemy. The statement "all cats are black" does not also mean "all black things are cats".
I roughly agree with you on that (with the caveat that e.g. opposing army generals can be enemies but admire and respect each other). I disagree that Meneth was saying what you said.