This may not be a useful answer, but . . . when I was a first-year law student I was able to get a credit card. Wells Fargo (which hadn't gone over to the dark side in those days) ran a promotion saying it would give a credit card to anyone who scored high enough on their criteria. I think a score of 15 was needed. When I moved from a furnished to an unfurnished apartment in the middle of my first year, I had the minimum score needed. I think my credit line was $600. I used the card only for things like car repairs or furniture for the apartment. Being my parents' son, I never, never, let a balance go from month to month.
My wallet was stolen while in law school. I knew enough to report it to the credit card company and they sent me a new card without a problem. I didn't have autopay on anything, so the transition was easy. If I were the parent of a college age kid, I wouldn't worry about theft.
P.S. I have to add that at the time I knew a young woman ( a few years older than I) who ran up a huge balance. I ended up lending her money to pay it off and she cut up her cards. Plainly not everyone is responsible at that age.