Beach or mountains is rarely a question about two places. It is a question about which kind of rest you actually need, and most people can argue both sides for weeks without booking anything. The Beach or Mountains Wheel has exactly those two slices on it, so one tap gives you a direction to react to. It does not know your budget or your dates, and it is not predicting a better holiday. It just ends the loop.
The two sides tend to mean different things. Beach usually means flat days, warm water, a book you never finish, and kids who entertain themselves in sand for hours. Mountains usually means cooler air, effort before the view, boots by the door, and sleeping like a stone. One is rest you lie down for, the other is rest you earn, and that is why the comparison never resolves on a spreadsheet.
The useful part is the half second after the pointer stops. If Mountains lands and your shoulders drop, you wanted mountains. If it lands and you immediately start listing reasons the flights are awkward, you wanted the beach and now you know. Either way you leave with a direction, which is the thing that unlocks everything downstream: dates, packing, and search terms that finally point at one kind of place.