Is it normal if i admit i'm gonna chase him and don't feel bad about it?

Even though I am in a relationship with him, we go through ups and downs but mostly downs cause we're slowly taking our relationship to the next level. So there's all these labeling and commitment issues you go through when you take things slow. I'm still in the relationship because Im in love with this guy. As soon as I met him, I wanted to be his, I felt like I knew him before and finally we came together. He's still here because as he puts it "I am the one he wants to be with long-term but he has other priorities plus he doesn't want to hurt me or him get hurt." After being through so many emotional rides in a relationship, thank god you come to a point where you can relax about a situation and have faith without being so anxious. Right now, it seems like although we did take the next little step in our relationship, we havent been in much contact. I can't really conclude why to be honest. It started w him not talking to me until later and its not what I wanted to hear so I told him goodbye and he was pretty shocked by it. From there, I contacted him trying to make him see I'm not that mad. He hasn't responded at all. Before, I wouldve probably called him and panic. Now, I am so relaxed and just giving him the space he needs until hes ready to want to talk to me. After all, he is the one to come to me after us not talking. But here's where the whole "chase" thing comes from. Although I am relaxed, I'm not just gonna give him all the time and space and risk losing him. So I will eventually call him because I want to save our relationship. It might look like chasing and prob it is but I'm not ashame of it because he is the one I want to be with and being w him happy or unhappy overall makes me happier than being w someone else. It's like "get a life" or "get a hobby" but I already have those things and I don't care about looking low cause Im chasing him.