I'm not the author, of course, so I can't say for certain that I have the most correct reading of it. But, if I'm reading your interpretation right, here's what I'd say:
The story analogizing women to land -- which has no voice, no agency, no mind -- is the critical part. If one is consensually "limiting public access" with another sentient human being, that's wonderful -- because you'd be doing that in dialogue, in true partnership, on the same footing, etc. "Hey, we're in a marriage now, that means we agree to not sleep with other people. Deal? Deal." I think the author (and certainly I) would heartily endorse that sort of "wanting some space that is public and some that is private".
The key word in your comment, to me, was "healthy" -- as in "healthy boundaries," and honest communication etc. You're right, it's not boundaries as such that describes abuse or even the entitlement on which abuse rests. It's the kind of boundaries.
What Bancroft is saying in the parable is that, if men see women as pieces of land -- private land, at that -- that they have a god-given right to, then anything healthy between men and women is by definition impossible. That's why, in the parable, the boy's compromises and concessions are in fact no such thing: because they're still founded on inhuman premises.
There are aspects of the parable here that the book goes into a lot more detail on -- male jealousy, in particular -- that overlap a lot with what you and me are talking about. I urge you to read it! The boy limiting public access on these entitled premises is what a lot of men will do, on either side of the "abuse" line: losing their shit when their attractive girlfriend, who they chose in part because of her attractiveness, goes out in public looking attractive, and he sees other people (other men) looking at her. Maybe next time he tells her "you're not wearing that outfit", thus "limiting public access" but not in the healthy sense that you mean it, because she's not treated as sentient, she's not part of a conversation. She's just coerced. (This is excused or minimized as "culture" or "values" by many!)
But again, if I'm reading you right, I think the part where you got lost is just that. Ironically, it's probably because you have a pretty healthy view of relationships that just how fucked up the boy in the story is confused you!
(If I haven't read you right, let me know.)