If I return to college for a Comp Sci as my second college degree will I have more difficulty in securing jobs and internships (compared to pursuing CS as my first degree)?

I talked to an employee at college admissions and told him I'm interested in pivoting careers to CS. He told me that I will have a hard time securing internships as someone who's already held jobs and completed a degree. The only exception being if I'm trying to enter a competitive field, and even then he said it won't be easy with a previous degree.

However, he sounds like he's speaking in general terms for any returning student, and not with a lot of perception about their CS department. So I want to ask the people who actually studied CS if these statements hold up? Or are they overblown?