If you are a dog person, you are a good person.

Then, of course, if you are not a good person, you are not a dog person.

But it doesn’t mean if you are a good person, you are a dog person. Nor does it mean that if you are not a dog person that you are not a good person.

So remember this:

If you are a good person and are not a dog person, you are invited over for dinner.