Timing Required on Check Exceptions

I am working with a new core system and we are discussing our exceptions process for items presented that cannot post for various reasons i.e. NSF, closed account, account restriction, etc. This system will not backdate the item to the date of presentment in cases where we choose to pay it. Is there anything that states the item must be "paid" on the date of presentment? Every other core I have ever used in my 28+ years has always backdated the item to the presentment date.