Police investigate crimes shortly after the crime (within the location data retention period).
This would result in your stored data being used against you to build a case for criminal liability.
This would result in your stored data being used against you to build a case for criminal liability.
Unless the police have reason to suspect specific people then casting drag nets (phone location data, ALPR data, etc) and then sifting through the list of people they get for the most probable suspects is SOP.
The same result obtains when your phone isn't leaking your location data to anyone.
Having no data causes you to be uninteresting and they leave you alone. Having data that says your phone wasn't there causes you to be uninteresting and they leave you alone. It's the same result.
It's only when your phone is informing on you that you get into trouble, because then when you're unlucky to have been in the vicinity of a crime, you then become interesting and have a bad time even when you're completely innocent.
This applies to any private information - the less a third party has of your data, the smaller the attack surface through which incompetence, malice, and coincidence can burn you.