He [34/M] says we're "together", but he won't call me [28/F] his girlfriend. Am I wasting my time?

We've been dating for five months now. When we first met (from OKCupid), he told me he came from a failed engagement and several heartbreaks after that, and that he needs to take things slow because he doesn't want either of us hurt. I understood that, and was fine taking things slow.

However, one issue I have is that he still can't call me his girlfriend. We see each other every few days, and stay at each other's places on weekends. We exchange silly and cheesy messages. We cook for each other. We've discussed wanting kids and what country we want to live in in the future (We're both expats). We have stupid quarrels over food. Basically, all the stuff we do together makes me feel like I'm his girlfriend and he's my boyfriend, but somehow that title just sends him noping out.

I asked him about this several times, and he responded that he's trying really hard, and that he doesn't want to make the same mistake like before by pushing things too quickly... However, he said "We are together". I don't understand what that means. He even told me his own friends think he's weird for that too... and I find it weird that he openly tells me about this.

Also, I learned that he's still active on OKCupid through a friend. He changed his "looking for" to friends and his profile says that he's on there looking for friends, but he's still listed as single and that bothers me. He doesn't know that I know.

I basically feel like he can't call me his girlfriend because he doesn't want to fully commit to me. When he talks about his former relationships, he calls them his "ex". If I leave, what would I be to him? The "girl I am no longer together with"?

I know he has a lot of baggage and I want to believe that he wants to make this work, but I'm scared that I'm just gonna end up with my heart broken.

tl;dr: Guy I've been dating for five months won't call me his girlfriend, but we do girlfriend/boyfriend things and it's confusing the hell out of me. Help!