Of course it makes sense, you're a human being, how could you not connect with a child who is to all intents a member of your family.
I have people say to me all the time, rembering that we now only take newborn babies, "how do you part with them"
The answer, because I have no choice in the matter. I know there are foster carers who can't bear to part with their placements, my best friend is one of them, and so apply to adopt.
That was never an option for us, we can, or could, have children of our own, how could I justify keeping a child who could have been the only chance some families would ever have had to have a child.
You do disconnect to some extent when a child moves on, very often because you connect with the next child who needs you.
It's an ongoing thing, I have met up with a child we cared for for a year who had been placed for adoption and while it was lovely to see him, I felt no connection with him at all. He had his own family now and didn't need me. HTH
Please cat me if you need to talk off the board.