In normal sizing, shoe size and shoe width are proportionate, so big shoes may run a bit wider than necessary if you have long but thin feet. However, choosing a bigger shoe size simply for the goal of achieving a broader fit might result in a trip hazard. A pulley is a basic mechanism made out of a string (or rope) looped around a wheel (often with a groove), one end of which is linked to an item and the other end to a human or a motor. So, no, you should not size down in wide-fitting shoes. The best way to determine whether or not wide shoes are right for you is to try them on. There's no need to buy a pair that don't fit or make you comfortable. If they're too narrow up top but stretch out enough to be comfortable once you get used to them, then go for it!