I believe there are so many possibilities for what could have been in the case that Faramir did not have the character he does, in which case I am very grateful that you are not seeking a true answer.
Noting the strength that Eowyn posesses and her kin, she may have become more a leader than she was. Tolkien may have always intended that she would play part in the death of the Witch-king and without Faramir this could have been a key part to her alone. Having said that, the love she has for Aragorn is one of the reasons she does what she does, so Faramir's presence may have had little impact on that situation.
For what it is worth I also believe that Eowyn was supposed to marry, though it is obvious it was not meant to be to Faramir nor Aragorn, as he had quite a destiny. She 'settles' for Faramir, but perhaps Tolkien used this to show the joining of the two kingdoms, Lady Eowyn-shieldmaiden of Rohan and Captain Faramir of Gondor, and to reliterate their stregth not only as individuals but as a unit, together. A lesson to us all.
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