It's important to avoid making absolute conclusions about someone's interest based solely on one factor, such as whether they initiate conversations or not. People have different communication styles and comfort levels when it comes to initiating conversations, and there could be various reasons why someone doesn't take the lead in starting conversations.
Here are some possible reasons why a person might not initiate conversations, even if they are interested:
Shyness or social anxiety: Some individuals might be shy or have social anxiety, making it challenging for them to initiate conversations, especially with someone they like.
Fear of rejection: They might be afraid of being rejected or coming across as too eager, so they prefer to wait for the other person to initiate.
Respect for personal space: They could be giving you space and not wanting to come across as intrusive or overbearing.
Not wanting to seem pushy: They might be trying to gauge your interest and don't want to come on too strong.
Busy schedule: They might have a busy life or be preoccupied with other commitments, leaving them less time to initiate conversations.
Uncertain feelings: They might be unsure about their feelings for you or the situation, leading them to hold back from initiating.
While not initiating conversations might be a signal to consider, it's important to look at the bigger picture. Pay attention to other signs of interest, such as their body language, the way they respond when you initiate conversations, and their overall behavior around you.
If you are interested in this person, consider taking the initiative yourself and see how they respond. Initiating a conversation or spending time together may provide you with a better understanding of their feelings and level of interest. Additionally, open and honest communication is key to clarifying intentions and avoiding misunderstandings in any relationship.