He never texts first but responds fast?

Here's the thing: we know each other for 2 months and have only been texting each other. I don't know if he likes me romantically but he said he enjoys talking to me and almost always responds immediately, yet he never texts me first. It happens only when I don't send a message for a very long time, that's when he asks if everything's okay. I've already told him that I don't like to text that frequently because it makes me think that I bother him but his response was that it's not true at all. I know that he's shy but this behaviour frustrates me because I don't understand why do I have to be the one who always does it first. What should I do?
He never texts first but responds fast?
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