Mothers wax has a 3 phase system. The best IMO. You only have to apply the whole system once a year, after that just wax whenever. But the first phase has a cleaning agent that gets rid of crap (embedded dirt, oxidation) that washing doesn't. You'll feel the difference in how smooth the paint is after phase 1. Believe me. And I've used in on many white cars (I detail cars) and the first phase DOES make it much shinier, and that'* before the wax too.
But how noticeable is the white now? Try the wax out and see the difference.
But I doubt any wax will last 5 years. Especially if you drive it in the winter. It'* not logical IMO.