It's not what I was after TBP, but you may have a point.
I'm not sure it's true of Ithilien.
What timeframe are you using?
And Arnor?
Where does the female line come into that?
In diagnosing Eowyn, Aragorn tells Eomer in The Lord of the Rings, Book Five, Chapter VIII, The Houses of Healing...
...And yet, Eomer, I say to you that she loves you more truly than me; for you she loves and knows; but in me she loves only a shadow and a thought: a hope of glory and great deeds, and lands far from the fields of Rohan.