Quick answer
Approved courses can have limited benefits, but they do not universally erase convictions or prevent mandatory consequences.
Do now
Verify the provider with the licensing agency. Ask exactly which point, insurance, or program benefit applies, how often it is available, and whether it affects your particular notice. Keep the completion record.
Watch for
Marketing claims may confuse insurance discounts with agency point deductions. A course may not remove assessments, mandatory suspensions, or the underlying conviction.
Official sources
NJ MVC — Suspensions and Restorations, NY DMV — How to Keep Your License, NY DMV — Driver Responsibility Assessment.