Of course they are. Are they stateless?
This is even recognized in the Preamble with the usage of the term, "posterity."
Prostitution is not a victimless crime. The prostitue is a victim, as is the neighborhood where the trade is plied.
I know. That's why I used "scare quotes."
Legally? Yes.
"All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside." (Amendment 14, Section 1)
If they were citizens under common law, their parents would enjoy certain rights with respect to them. Tax deductions being a large consideration. They would also need to be enumerated in the Census.
This is even recognized in the Preamble with the usage of the term, "posterity."
This refers to all persons not yet born, not just those already conceived. Don't grasp at straws.