What I meant by being lonely or shall I say isolated, is that many models work and work and work. This job takes an emotional toll on a person. Add to it that some keep their work secret from real people in their lives.
Then they work sometimes the entire night, go to school, and then only have time for sleep. No real personal social interactions. I know of models who say this work isolates them or creates homebodies. They sometimes begin to avoid dealing with men outside their work.
I am sure more models who earn a lot do not have to work as much or as long and they have more free time to pursue interests away from their work.
From what I glean now, she most likely likes you for your ability to stand out from the rest of the crowd.
Have you thought that perhaps the male gene pool in her area is less than desirable as well.
You have a lot to learn about the ins and outs regarding the life of a cam model.
As far as your explanation to the man up thing, I believe she is testing you. She obviously is interested in you, but you hide behind a protective cloud of emotionless committal or perhaps romance. Yet you are still interested in her as a friend, I suppose. I think she wants more than that, and of course you are a customer. Being a customer and linking friendship or romance to that, in my eyes, is not genuine in the sense of the real world.
Your humility is confusing her, or your lack of self esteem or confidence that a beautiful lady would be interested in an average joe, perhaps. She finds you interesting and special or unique. And wants to get to know you better and you deny or dismiss her own feelings it seems. But as you say it might be a game or just a way to hook you. The only way to know is to dive in the water with protective gear or stop visiting her and leading yourself and her on. Eventually she will get annoyed or just give up on you. There are plenty of fish in the sea.
What is wrong with a long distance relationship at first. Never rush things. 4 months is not a lifetime.