In Christian theology, is Lot a type of the believer, and is the destruction of Sodom symbolic of hell or divine judgment?"

In Genesis 19, Lot is rescued from Sodom before its destruction by fire and brimstone. In 2 Peter 2:7–8, Lot is described as a righteous man living among the wicked. Given this, I’m wondering how Christian theology interprets Lot’s story in light of salvation and judgment themes. - Is Lot considered a "type" or symbol of the Christian believer, who is saved from judgment? - Is the fire and brimstone that destroyed Sodom seen as a foreshadowing or symbolic representation of hell? - Does this event function in any way like substitutionary judgment, or is it purely a direct act of divine justice? - How is Lot’s wife understood theologically—as a warning to believers who long for or look back to the sinful life they’ve left behind (cf. Luke 17:32)? I’m looking for insight into how theologians or biblical scholars interpret the parallels between this Old Testament narrative and New Testament themes of salvation and final judgment