I don’t see Snow as pushing her to Neal, more as a mother encouraging her daughter that she to can and deserve happiness. Snow just thinks that Emma feels that Neal and Henry being together is Emma’s happy ending. Remember how broken she was when she return in after losing Neal to the portal. They saw how much their daughter loved Neal. And Emma has influence on their perceptions.
I like to add that its not them thinking Neal is better than Hook or Neal is whats best for their daughter. Its them thinking that Emma LOVES Neal, which she does. If Emma had no feelings for Neal, they would back off and let her be.
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"I will be kind but I will speak my mind."