With regard to his time alone: Everyone can use time alone. However, to me the question is whether you can be actually happy with the amount of time he spends alone. If you can, then there is no problem with regard to his alone time. But if the time alone is excessive from your perspective, then there is an issue to discuss and work through. In my opinion you don't have to accept basically living alone simply because that is what he finds comfortable. He might SAY he wants time with you, but his actions may be telling a different story.

I guess what I meant by drawing out is that right now it sounds like you have to ask him over and over to spend time with you and to help out. Is that what you want in a relationship? Even if that is what he wants, it does not have to be what you want.

With regard to chores: Just because he might want you to be in charge, and to ask him every day to do X, does not mean that is automatically an appropriate arrangement. Is that what you want long-term: Asking, cajoling, pleading, maybe even begging him to do X? I suspect that over time it will all get tiresome and perhaps you will just come to do X yourself. And Y, and Z...