Answer:
They wish the speaker would choose a more reliable profession.
Step-by-step explanation:
Based on the excerpt taken from "Binding Memories", we can see the reaction of the parents towards their daughter's pursuit of a career in book publishing. Especially, the mention of the words that her "parents skeptically, worried that my business would fail, that I was behind the times" shows their worries and also uncertain about the business. They wished that she had chosen something more practical and professionally reliable. For them, a publishing house is of no use for this modern age that hardly have any use for books.