…except that answering any questions at all by the police now means that the police can accuse you of some unrelated crime and use your silence at that point against you.
Now, if you're smart, you would keep your mouth shut. You're innocent and anything you say can and will be used against you, in the event that the officer doesn't or refuses to believe you. But, according to this case, if you do keep your mouth shut then the officer can now offer as evidence to the court the fact that once he asked you specifically about the location of the baby, you didn't answer.
The prosecutor will then, legally, stand before a jury begging the question "why didn't he just answer the question? Obviously because he is guilty." Now you're the guy last seen with a missing baby who refused to say where the baby was. You're obviously guilty.
I, for one, will never speak to another on duty officer again except to the extent required by law.
Depending on the state and situation, you are required to by law to answer certain questions. I would answer these questions and otherwise ask if I am free to go.
These are probably unlikely concerns, but I can imagine them and I don't like them. If there were other people around then these issues would be mitigated... but I would also feel no pressure to talk to anyone.