While they could do the Ariel and Eric are parents to Hook thing, I don’t think they will. That role of parent/child same age is occupied by Emma and in her case her parents are also major characters/core characters so there is room for growth and development. In Hook’s case, Ariel and Eric are going to be around for S3 but not the significant amount it would take to build this relationship.
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"He was a lot of things to me" "The only conclusion was love"