Glass polishes actually are, however, no weapon against scratches on real glass. At least not the "large", ie the ones you can make as a single scratch to the naked eye. The witness in any case many forum entries.
In this sense: Always "Healthy caution" against jubilation reviews as listen resulting from Manufacturer Employee spring.
Notice and warning for touch screens:
Manufacturers often invent flowery names like "Gorilla Glass" for their touchscreens, the top layer is either but it only hard plastic, or with capacitive touch screens (many smartphones) is a metal oxide. For plastics there are cheaper sets; destroyed at metal / removed this may scratch at the spot, so that the right / left / up / is likely to be restricted then down from this point, the touch sensitivity, or even bother?
Alternatives? Not tried it myself yet, only idea: glass cooktop cleaner? eg private label "AS" of Schlecker (1.50) with its "very good" -Warentest rating? These are also glass polishes, just without the (in the car care products industry unfortunately usual) few hundred percent profit margin) on glass cooktop cleaners = polishes even higher demands are still made, because they have lt even be Warentest able to etch. polished out holograms from the hob after hot over cooked foods with low pH have eroded over time something the glass surface. But beware: not merely accidentally "oven cleaners" access (this is different for the black enamel surface in the oven, or for old hotplates). They are too aggressive and is not intended for glass. That would be as if you polish car windows with wheel cleaners)
And cheap bargain (eg 1-Euro-Shop goods) I would avoid. So either really aware Warentest, or rely on brand goods.