The discussion points I responded to focused on Arias being his girlfriend. Or not being so. That was what was being questioned.
One of the things I like about this forum is the base of knowledge that has firm foundation in fact. So, if it's claimed that he never called her his girlfriend and evidence shows he did, noting the facts helps. Same with your point on going to see a movie or baking cookies. The evidence shows that she did these things so it's worth being clear on those points. These small matters don't negate the discussion on his level of commitment to to her or the very brief window in which the tag girlfriend was applied.
Fair comments, though I would add that from reading his texts, JA was not the only one he said "I love you" to, or "you don't love me", or invited for baking cookies, road trips etc., without the expectation that he was or they were suddenly in a bf/gf relationship. That was and is quite common btw, even I recall that kind of flirting, same with his way of bringing sex into his chats... as immature as that now sounds to me. It seems more than a few were quite willing to "play the game" with him too, though after time you could eventually see most of that for what it was, immature flirting that the women themselves were quite capable of putting a cap on when they decided it had hit the upper limits of what they were willing to participate in.