Whatever floats your boat, but why even have a dive computer if you have to ignore what it is telling you? In the case I was asking about, at the beginning of your second dive it would be telling you that your N2 loading is zero, which would be incorrect. If you were trying to use it to monitor your N2 on that dive, you could very easily go into deco and not know it.
Christi's POV is a bit different, anyway. If she rents a dive computer to a customer, she has taken on some liability. She wants to be sure that the diver is N2 clean before they start depending on the computer, with good reason.