Hm, interesting point RG and thanks for help with the blackouts.
They are moral, and also eager to spend time with Emma, and she with them. I can’t picture Emma like a teenager, with the Charming’s disapproval fueling her attraction to Hook in a bid to establish independence from parental control. Emma is a parent too. I see her taking their opinion into consideration but she will make up her own mind. So she might trust him more than they might, but she is not going to dismiss their feelings either. He has not proven himself to them, but they might give him a chance to try, so we have to wait to see.
“If I had a world of my own, everything would be nonsense. Nothing would be what it is, because everything would be what it isn't. And contrary wise, what is, it wouldn't be. And what it wouldn't be, it would. You see?” -- Lewis Carroll, Alice's Adventures in Wonderland & Through the Looking-Glass