Laminate was never manufactured to be a durable floor covering. Just like carpet it must be replaced from time to time. It usually has a 25 year zinc coating applied to the top of the boards as the wear layer. Cheaper versions have a lower year zinc coating. Doing anything to this zinc coating will void the warrantee (if you care) and could possibly destroy the flooring, the top color coating being less than 1mm in thickness. Deep cleaning of Laminate is to be done with a neutral floor cleaner and a damp microfiber flat mop. I believe the manufacturer BRUCE has a section on their website on how to properly clean a laminate floor. It is possible to damage a laminate floor even with a white pad, I have done it.
Now to the real world here. If they want their floor to last as long as they think it should, Ie. as long as a solid hardwood floor, then applying a wax topcoat is the only way to go, think vct here, you will never be able to strip the floor due to the construction of Laminate but a regular buff and recoat will bring back that shine that they are looking for. I would look into the Nano or the ceramic waxes to put down.