What does it mean when a guy admittedly acts like your boyfriend, but hasn't given you the title?

I had been getting to know this guy for about two months when he would start acting like my boyfriend whenever we were together. For example, he would never let me pay for anything even just a water, he shaved the first letter of my name into his head :), he was really affectionate with me in public like walking behind me with his arms wrapped around my waist while he was still holding my hands, wrapping his arms around me and rubbing my back, giving me random pecks on my cheeks, forehead, shoulders, and the tip of my nose, wrapping his arm around my shoulder then rubbing it, holding hands, walking with our arms linked, and he was really protective over me. If we would be out and I was hungry and wanted to stop somewhere, he would never let me pay for it even if it was the dollar menu at McDonald's! He would always say “Whenever you want to hang out, I’ll make time for you” even though he’s very busy. One time I was at his house and he was being really affectionate with me. We were laying on the couch and he had his arms wrapped around me and he kept hugging me tightly to his chest and giving me random pecks. I said “We act like a couple” and he was like “I know.”I know he wasn’t trying to get in my pants because he’s known ever since we met that I’m a proud virgin and I’m not just giving my body to anyone. In fact, he would encourage me to stay a virgin and tell me that sex is overrated and I shouldn’t have to give my virginity to anyone if I don’t want to. Even once at his house, I felt like he was too close to me lol so he moved away respectfully and he’s always been very respectful of me. I never straight up asked him “What can I call you?” and I regret that. So I was just wondering why he treated me like that but I never got the title? I was thinking maybe it’s because we’re both in a sh*tty situation where we have to move and he doesn’t want to get attached for us to ultimately have to part our ways…but I don’t know…Thanks in advance!