Well there are obviously different types of correspondence chess, but it's really far from an actual chess game if you use a computer. I don't even feel like I need to argue this point just common sense.
You should not trust your feelings too much, you're not a jedi.
That is exactly why i didnt join one of those. What is the point, if engines are allowed?
We could ask as well what's the point of playing without engines if engines make us play better. Obviously it's just a matter of taste.