The loan is sized by other creditors' numbers, which is a harder problem than it sounds. An ordinary personal loan borrower decides how much to borrow. Here the amount is determined by the sum of the payoffs, and each of those is a moving figure until the day it is paid. Balances accrue interest between the quote and the payment, a statement can post in between, and a payoff on a revolving account is not a fixed number the way a closed-end payoff is. So a loan sized to the balances as they stood at application is systematically slightly too small.
The origination fee makes that worse in a way the interest rate does not show, and this is the arithmetic to do before signing. Where a lender deducts an origination fee from the advance, the borrower receives less than the loan amount while owing and paying interest on the whole of it. Published material on personal loans covers what that does to the annual percentage rate. The consequence specific to a consolidation is different and more concrete: the money that reaches the creditors is the advance, not the loan amount, so the fee comes directly out of the balances being retired. A loan whose face amount equals the balances leaves the fee unpaid on those accounts, where it continues to accrue at the card rate. The fix is to gross the loan up, and the worked example below does the arithmetic.
Direct disbursement changes several things at once, and only one of them is convenience. Where the lender pays the old creditors rather than advancing the money to the borrower, the payee is the creditor and the borrower never controls the funds, which removes both a step and a temptation. Three mechanical consequences follow, and each one is a place a consolidation goes slightly wrong.
The payoff figure is dated. Interest accrues on a revolving balance until the payment posts, so an amount quoted on one day and paid a week later leaves a residual. A residual balance means the account is still revolving, which matters more than its size, because a card carrying a balance is a card that keeps accruing.
The old payment is still due until the payoff posts. Nothing about applying for or being approved for a consolidation loan suspends the contractual minimum on the accounts being consolidated. A borrower who stops paying the cards on the strength of an approval can pick up a delinquency on an account that was about to reach zero.
And the payoff does not close the account. Paying a revolving balance to zero leaves the account open with its full credit limit available, unless the borrower separately asks for it to be closed.
The re-accumulation problem has a mechanism, and it is not weak will. The parent page notes that the old accounts stay open. The mechanism underneath it is worth stating precisely, because it explains why the pattern is so consistent. At the moment the loan funds, three things are simultaneously true. The share of available revolving credit in use collapses to near zero, because the balances are gone and the limits remain, and the credit utilization page covers what that does. The household's total available credit is unchanged, so its capacity to borrow again is at its maximum. And a new fixed monthly obligation has been added to the same income, so its capacity to absorb a shock is at its minimum. Maximum available credit and minimum slack arrive on the same day, which is the mechanism behind a second set of balances rather than any failure of resolve.
Closing the emptied accounts is the obvious response and it is not automatically the right one, because removing those limits raises the share of the remaining credit in use. That trade-off belongs to the consolidation decision as a whole rather than to this instrument, and the parent page treats it.
Two things this page deliberately does not decide. Whether to consolidate at all, and how to compare offers, is the parent page's subject, and its test is total cost against total cost rather than payment against payment. Whether to use an unsecured loan or something secured by your home is the same page's most consequential question, because the cheaper rate is bought with the lender's better remedy. Both are prior questions to anything here.