That's part of the reason why half the >$100K cars around LA have no plates. IMO it's an attempt for those to show off that what they've got is "new." In California the DMV mails you your plates several weeks after you register the vehicle--you don't walk out of the DMV or dealership with plates the day you make the transaction. I'm not an LEO, but IIRC the law may say something like a 6-month grace period where you don't have to affix plates to a new-to-you vehicle, but I think it actually reads that once you've been mailed the plates, you have to put them on. Usually that's within a month or two.
Regardless, getting a new, identical car every 6 months to avoid plating it isn't thinking outside the box, it's just a matter of having more money than God.