I'm not going to extend an invite to someone I don't like
Why don't you like this person?
The person I don't like never invites me to anything, so I am going to return the favor
I can understand why you'd feel slighted. I wonder if there could be some extenuating circumstances that could explain this behavior?
Are you just trying to cover for your friend?
It seems you really are not friends with them anyways so I don't see a problem with it. People might ask questions if they stop showing up.