@Scott *********
You should have no problems passing through "Swampy" either. As you are not the first person immigration has seen pass through with a ETD.
If you think about it along these lines your Visa stamp in your lost passport remains valid until expiry.
If you have a copy of it it can't do you any harm either?
Your ETD should cross reference your lost passport number.
Immigration can check you out of the country with that info and verify any overstay etc .
So I would not worry about it if that helps?