Follow the datasheet. If it fails and you have cut corners for size issues then you could be unemployed quick time even if it works on the bench (which anyone can do). Following the manufacturers advice is best despite not being the most logical way. They don't make these params up for the hell of it.
If the regulator can handle the initial surge current due to the excessive output cap when powering up you can. Those electrolytic caps might not meet the impedance requirements to have the regulator be stable though. You usually need cap type with a lower impedance cap for that.
funny, that's the second time that a very old thread has appeared at the top of the list... looks like aledrus is the one that played Dr Frankenstein with this one...
Did you notice though, its the same people from the first page answering the second time around , I wear a clove of garlic around mt neck reading the forum now