Credit cards usually need more rigorous examination, because it involves the credit limit, and banks need to ensure that applicants have a stable source of income, so they may need to provide proof of work.
Savings cards are relatively simple, mainly used to deposit and withdraw money, and generally do not need to provide proof of work.
However, these may change due to different bank policies, so the best way is to contact the bank staff directly, which will not only get the most accurate information.