Mine is apparently both also, but I use it ONLY to withdraw money from the ATM. I can take out up to $300 a day. Since I don't spend nearly that amount, I've taken the step of keeping a running balance in the wallet for normal spending. I use a regular credit card for large purchases or internet purchases, but pay the bill off at the end of the month.
Cash is my preferred means of payment.
But a trip to the bank every day? What a pain in the behind. I like my debit card, no muss, no fuss and I have a record of each expenditure in my checkbook. If I need cash, I can get cash back at the grocery checkout by using the debit option. For online transactions, I try to use PayPal as often as possible. More and more sellers are offering that option. It conceals my credit card info - I like that.