The trays used for water are not unique to the Church, there are variations made for other churches as well, some are very similar if not the same. That means that in other places it is possible that someone has come up with a device for use in those other situations and someone happened to stumble across it somewhere.
We've also gone through some variations, but usually each tray can hold about 30-40 cups, some have been plastic and those were a little smaller, the last I saw of the round water trays was in the late 80s, and some of those and the rectangular ones had places to drop the cups into (either side of the handle).
Paper cups were common until about ten years ago. Now the small plastic ones are used, and in my ward we found a way to mitigate the sound when one is dropped back into the tray holder, you take a paper towel from the dispenser in the room you prepare the sacrament in although not all rooms will have one, tear it in half down the middle, and lay the halves in the bottom of the tray. Also makes it easy for cleanup as well after the meeting.