Whether or not it's worth having a friend who never initiates contact depends on a number of factors, and everyone's definition and expectations of friendship can vary.
Here are some aspects to consider:
1.Past experiences and interactions: Look back at your past interactions and see how you felt together. If you have good communication and support each other when you're together, it could mean that the friend is valuable in some way.
2.Common interests and values: If you share common interests or similar values, this may be the basis for maintaining a friendship.
3.Personality traits of the other person: Some people may be more introverted or not good at reaching out, but that doesn't necessarily mean they don't value friendships.
4.Your need for friendship: Consider your own expectations and needs for friendship. If you want to have more intimate and frequent communication, and the other person can't meet that, it can make you feel dissatisfied.
5.Attempts to take the initiative to communicate: You can also reach out to this friend to express your concern about the relationship and see how the other person reacts. This may help to improve communication and mutual understanding.
6.The quality of the friendship: Think about the impact of the friendship on your life and well-being. If it gives you a positive experience and support, it may be worth continuing to engage even if the other person doesn't reach out.
Most importantly, your feelings and judgments about this friendship are the most crucial. If you feel that you are not happy or uncomfortable with your relationship with this friend, then you can reevaluate the relationship. At the same time, keep an open mind as one's behavior and attitudes may change over time and experience.