A lot of introverts actually like contact with other people. They often prefer smaller groups and a certain connection, they are more picky. And need some time alone afterwards.
But that doesn't mean they are hermits.
I used to think I like parties. That I have to like it. That something was wrong with me for not liking it. Now I know it is ok to not have fun at a party, and prefer a walk with a good friend or my wife. I am much happier this way.
As someone who had many years of depression, I know social isolation too. And it is just not the same.
That said, I admit it can at the same thing also be true that people cop out of a healthy way to stretch their boundaries or even expend just a little effort by mistakenly labeling themselves as introvert. Such misuse of the label doesn't mean it doesn't refer to a real thing and a real experience.