Does that mean that those people that do not recognize a need for salvation and humbly ask for baptism, do not have souls?
Not at all.
All sergeants are soldiers, but not all soldiers are sergeants.
You need to learn what an “undistributed middle” is.
If I tell you that squirrels have a tail, would you then say: “And so, if any animal isn’t a squirrel, it doesn’t have a tail?”
LIghten up; Francis!