haifagirl – would you agree that some people might find your desire to eat by yourself (even on Pesach) outside the mainstream population? Very few people consistently want to eat their meals alone. I assume you are a wonderful cook, and perhaps they are not, but what about companionship, someone to share a dvar Torah with on Shabbos? Why do you seem to feel that an invitation out means the person thinks you can’t cook for yourself or are too stupid to know how to say kiddush? That’s quite an assumption to be making about other people, wouldn’t you say?
I think most people want to be nice and kind, and we should not read into their motives too deeply. Sometimes we need to take things at face value. I am sure your company is enjoyable, meaning that you are a person who can enjoy being by yourself, but we all need others at various times, and Shabbos and yom tov seem to be the worst times to be alone. Just saying…
In any case, you cettainly have the right to live as you choose, but from someone who loves having company and BEING company, I admit that this is a first for me, reading your post.