In the past I’ve written about the crooked things Paypal/Ebay (same company) do, but this really shocked me. There isn’t much to say about it except despite how it looks, it’s not a Phishing scam — this actually happened to me on Paypal’s verified website
Paypal is known for going into people’s accounts and draining them dry using electronic debits. You DO NOT want to give them your log in ID and access codes for your Bank Accounts. You can Bet they WILL save and USE this information.
I can only speculate on the things they want to be able to do such as like linking your savings account to your checking account and then stealing all your money, or applying for overdraft protection, then maxing it out.
If you must link your checking account to Paypal because Ebay is a Monopoly and they force you to do it, then use the “old fashioned” method. Please do not give Paypal your passwords to anything except Paypal!