Those are not types of the Pre-Trib Rapture.
Those upon whom the wrath of God fell were killed.
Noah was locked up in the ark, tossed about on the waters of the Flood until finally coming to ground upon Mt. Ararat.
Lot had to flee from the city into the wilderness on foot, with his family, and lost his wife in the process.
In neither case were the believers removed from the earth or grabbed and transported somewhere by God.
The Bible is replete with the sufferings and tribulation encountered by the people of God. Hebrews 11 gives a whole litany of them.
The early Christians were killed for the faith, not caught away to a place of safety and leisure by God.
Besides, Jesus said He will raise up those who believe in Him on the LAST DAY, not 1,007 years or so before the Last Day (see John 6:39-40, 44, 54).