Neither Noah nor Lot were raptured. They were witnesses to the destruction... Witnesses to the justice and the execution of judgement upon the wicked. As in
KJV
Psalms 91:8-11
8 Only with thine eyes shalt thou behold and see the reward of the wicked.
9 Because thou hast made the LORD, which is my refuge, even the most High, thy habitation;
10 There shall no evil befall thee, neither shall any plague come nigh thy dwelling.
11 For he shall give his angels charge over thee, to keep thee in all thy ways.