Yeah, but people don't think that way. They merely feel.
It should be obvious that if a form of argument leads to some absurd conclusion then something is wrong with the argument and any conclusions that result from its application should be questioned.
Almost no-one gets that though, except those that have some background in mathematics or logic.
Indeed Universities need to stress more courses in philosophy and basic reasoning techniques of logic, because people don’t know how to THINK. And if you use emotions instead of reason, you’ll go very far afoul, as we see now.