Usually, but not always.
For instance, it has long been the case through my college years that at Columbia University, the arts & sciences college, Columbia College was considered much harder to gain admission to and “more prestigious” than Columbia SEAS provided the applicant’s strengths were overwhelmingly in the STEM area.
Before Columbia made it so one had to submit a full transfer application to change between the divisions, this difference in admissions difficulty was such many HS classmates and those from similar STEM-centered high schools with strong math/science grades and stats would use this factor to gain admission to Columbia College by using Columbia SEAS as a “backdoor route” as up until the late '90s/early '00s, all one needed to do to transfer divisions before the change to current policy was to be in good academic standing after one year and submitting pro-forma administrative paperwork. Columbia probably changed to the current policy precisely because too many students like my HS classmates successfully used admission to Columbia SEAS as a means to legitimately “hack” their way into Columbia College.