Does he consider me as his girlfriend?

So they say actions speak louder and that guys express themselves more through actions than words. So when it comes to my relationship, there has always been a commitment issue coming from his side, not for me. I know what I want and that's to be with him. For him, it's always been up and down. The last time we had "the talk" which was like 4 months ago, he said were still trying to see where we'll go from here so he didn't say yes we're together in a relationship. However, when it comes to his actions overall, it's a bunch of mixed signals. So the stuff that he does that says he does consider me his girlfriend are: introducing me to his parents and hanging out with them (its only been like once) but his family knows of me and everything I've hung out with his cousins too, spending time with me and choosing me over other plans, calling me babe and being more affection like holding my hand, letting me use his stuff, meeting my parents.
The stuff that tell me he doesn't consider me his girlfriend are: not being open about us to his friends and peers and social media, one day his friend called him while he was with me and he asked what he's up to and right there he just lied to him about what he was actually doing then I told him tell him you're with me and he said I'm with so and so and his friend ask whos that, and he changed the subject, he could be rude to me sometimes but I think thats just a sign of disrespect like he'll belittle me or not encourage me to do better etc, he gets distant all of a sudden without letting me know what's going on.
So does he consider me his girlfriend? or having him say it verbally will mean much more than his confusing actions? I think at the end of the day he doesn't know what he wants and that makes me confused about my position like am I your girlfriend or not?
Does he consider me as his girlfriend?
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