The cleaners actually have chemicals that cause the rubber to break down. It is not like the tt companies are doing that on purpose. It is just that, if you use any form of detergent, it causes the rubber to break down. Water on a sponge is fine and does what you need it to. Not too much water. You want the dust off and the topsheet dry as fast as possible. There are some cleaners that are designed to make the topsheet more tacky for a short time like Spin Max. Those are different but the effect does not last. They are not detergent so I do not think they break down the rubber but, they are not really needed, and the effect is very short lived and only works on Tacky type rubbers not smooth grippy Japanese or German style rubbers like Tenergy. Oils expand the rubber and so, for a few weeks they will make the topsheet more grippy. But oils do cause rubber to break down and will ultimately cause the rubber to be dead sooner.
In my opinion, if the rubber is dead, then using something like oil, to get a little more use out if it is fine. Oil on the sponge makes the sponge expand and gives a mild speed glue like effect. Oil on the topsheet can make some topsheets more grippy for a few weeks. But I would not do either of these things unless the rubber is basically dead and you are trying to prolong the life of the rubber so you don't have to buy your next sheet quite as soon. Organic rubber just breaks down and deteriorates over time you cannot stop that from happening. However, things like cleaning solutions, detergents and oils can speed that process. But since oils expand the rubber, they can have an interesting effect if the rubber is already dead.