I actually just interviewed someone today for a life science internship. They were senior year, ready to graduate in a related field and wanted some domain experience with what my company does. So, their resume had a tangentially related work experience working in their university's lab.
When I talked to the internship candidate, something they kept saying was "I don't have any experience." This didn't make sense to me because, as we talked, they spoke about the project they did at the university: a full front-to-back experimental troubleshooting that started with a question: Why doesn't protocol X work in our hands but it does in the publisher's? They tested all the different possibilities and optimized a protocol that, going forward, the department could use year after year to teach students. There was a hefty team component as well as the opportunity to develop other skills. They also spoke about assistantship positions in clinical offices that build on critical hard and soft skills. And to top it off they didnt list this because they thought it had nothing to do with my company.
This isn't no experience. It's actually quite valuable, in addition to other components such as researching our company beforehand and rehearsing on some common interview questions.
When you go into an interview, assume you're the right person for the job and you need to sell me on why. No internship is going to expect you already have training in the tasks they have in store, but internships are a battlefield of applicants where you need to stand out. For me, having any job experience is better than none.