Do men lose interest if women keep initiating conversations?

I met a guy and we mutually liked each other. We haven’t expressed yet directly. He gives off friendly vibes and that he is still interested when we are in common friends chats. I initiated direct conversation once and he was quick to respond at each message I’d sent and he also used emojis/laughs. Will he lose interest if I DM him again? I’ve heard guys run away if women pursue. He is a gentleman so not sure if that applies to him too.

Do men lose interest if women keep initiating conversations?
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