It's attached to the registration of the vehicle, now. No more stickers is absolutely correct. The only way I can think your inspection might be overdue is if your inspection was due in May but your tags were due in July. But even then.. if I read it right, your next inspection wouldn't be due until July 09.
It gives DMV more control over your vehicle. You can no longer get tags for a vehicle without having a valid inspection, first.
a black car.