Agree, equity is preferably credit balance and draws are contra-equity debits.  Here is what I think is confusing since I just answered a similar question yesterday about reports, where it sounds like QBO went opposite of QBDT on how they present debits and credits on reports. 

Suggest look at a different report than whatever you are using. COA is a list of accounts not actual report.  Trial balance is my favorite report since it shows all your account balances on one page in account number order with columns for debit and credit to see the whole picture all on one page, without messy subtotals.