Counseling and clinical are no different in practice or licensure. Both are trained to diagnose and treat mental illness, do assessments, etc.
This person breaks it down, but even he emphasizes more differences than I have seen in my career as a licensed psychologist from a counseling Ph.D. program surrounded by clinical colleagues:
Counseling Psychology vs. Clinical Psychology – Dr. Joseph H. Hammer
The most meaningful difference is just history/foundation. Counseling programs are fewer in the U.S. but have comparable competitiveness. As
@WisNeuro mentioned, clinical programs include PsyD for profit programs in their stats, which means a wider range of acceptance rates anywhere from like 2-40%, whereas counseling programs have a narrower range of acceptance percentages, generally. That said, both have training programs overseen by APA and both are competitive.
Most folks would benefit from applying to both types of programs because the career options are generally the same: academia, private practice, community mental health, counseling centers, hospitals, etc. It just depends on your research interests in individual programs (counseling programs emphasize diversity and social advocacy as part of their identity, so this is reflected in the research choices).
In my area, clinical psychologists are all over and I’m a rare counseling psychologist, but we do the exact same things and are treated no differently on average. That said, in some medical/hospital settings, you may experience some bias against counseling psychology due to ignorance of the subfield, so you may have to make sure your experiences line up with what they want and be prepared to explain what counseling psychology is (they might rely on very outdated info based on counseling psychology’s history of focusing on vocational and/or lifespan adjustment/issues, which is NOT accurate anymore—we treat mental illness, same as clinical, just with attention to vocation and lifespan issues as well as part of our training).
Hope that clarifies any confusion. We get this question a lot in here, and misinformation abounds on the internet about what counseling psychology is
today.