I think INTJs are viewed in the wrong way as far as being “lonely” goes. We wish not to have friends, but rather, close companions. Shallowness and small talk aren’t our thing, soul-deep conversations and real straight up conversations are what we like.
Personally I love nothing better than staying up all night and having deep talks with friends about life, their pains, deepest sorrows and secrets. It makes me feel like I can connect to them on a deeper level.