From what I see with my son and his friends, I think advising is extra important for engineering, because the long prereq chains and high number of courses required can leave minimal wiggle room if courses are unavailable or if changes need to be made. Many students also switch engineering disciplines during the course of their degrees.
USC Viterbi advertises itself as being especially flexible for an engineering school, allowing students to switch majors freely and encouraging students to customize their degrees with interdisciplinary study, so I expect advising might matter even more there (compared to a school like Cal Poly where there is more of a set flowchart).