It sounds like you are not doing anything wrong. The problem seems to lie in what he thinks is okay for communication in the relationship or possibly a deeper problem with him.
People come into relationships with all kinds of issues from their past. They may have suffered trauma, been abused or witnessed their parents or caregivers interacting in a dysfunctional way. Growing up being exposed to these things can cause someone to think their behavior is normal in a relationship when it is not.
A person can also come into a relationship with pain from a past relationship, or they may have personality issues, such as anger problems or narcissism.
You are coming into the relationship with normal communication needs. You want to talk to the person you are with on a regular basis, which is normal. You also want to spend time together, which is also normal. But for the guy you are dating, he is choosing to hold back for some reason.
What you can do is to talk to him again, but this time, try to talk to him face to face. Communicating by text leaves too much possibility of misunderstanding. In a gentle way, ask him directly why he takes a while to respond to your texts. Is he busy or does he have an excuse that sounds legitimate to you? If so, then you have your answer. But if he implies that something is wrong with you for asking, that can be a red flag. You may be dealing with a person who does not see their own behavior as a problem. In that case, you may want to back off and rethink this relationship. Anytime you see someone not at least consider your feelings in a relationship, that may be the beginning of a more serious issue and a sign that you should re consider.
I hope this has helped you,
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