Daniel Yeah sounds ok to me. I myself would prefer to see in the notification how much money is left in the account, because I can see rightaway, if I have money to spend.
With the notification you suggest, you know how much money you have spent in a day, but how does it help you to stay in your budget? This would mean you have to know exactly what you have in your accounts and you have to do the math in your head. For me, this would not be helpful at all ;-)