Why would my comment be at odds with what you thought?
No statements to the Police means less evidence.
If you are guilty, less evidence is good.
If you are not guilty, you can testify on your own behalf, after the prosecution has revealed its entire case.
No statements also mean no contradictions, no retractions, no exaggerations, and no provable lies.
And, in your case, no bizarre comments.
Ideally a criminal trial is to seek the truth and more evidence should increase the likelihood of arriving at the truth. Of course, quilty persons would do their best to conceal the truth. Do we teach our children be truthful or to impede the course of justice?