Plus how could he have no hope in his heart if his daughter is there. Something happened to make him this way.
The death of his wife/daughter’s mother would do it. And it didn’t say that he doesn’t have no hope, just that it’s dormant. A lot like Emma back in S1–wishing on the star even though she described herself as a friendless orphan. That’s why everyone is latching on to this being Grown Up Henry. It reads a lot like Emma; the kid reads a lot like Henry in S1. The parallels there (child saving parent) are ripe, especially if A and E are planning this as the final season and everything come full circle.
But both scenarios–Henry’s kid or CS daughter–would work with those casting and with those parallels. I think we need to see set photos of the finale (does Emma really die, for example) before we can lean one way or the other.