the jewish tradition teaches it was their overwhelming inhospitality that brought wrath from the heavens upon them....
Which is why Jesus was talking about Sodom and Gomorrah when he discussed the theme of hospitality.
"Whatever town or village you enter, search there for some worthy person and stay at their house until you leave. As you enter the home, give it your greeting. If the home is deserving, let your peace rest on it; if it is not, let your peace return to you. If anyone will not welcome you or listen to your words, leave that home or town and shake the dust off your feet. Truly I tell you, it will be more bearable for Sodom and Gomorrah on the day of judgment than for that town" (Matthew 10:11-15).
And what is related in Genesis 19 pertains not to sexual orientation but to the crime of rape. Gang rape. See the difference? Rape is about the most inhospitable way one could possibly treat a guest.