I'm only just beginning to read about diodes. I'm looking at the 1N400x series, where all specs are the same except the reverse voltage (link: https://www.mouser.com/ProductDetail/Diodes-Incorporated/1N4003-T?qs=rGAXPo9uwV0nfQ36LZW%252BLg%3D%3D for example). The reverse voltage increases as x increases, all else is the same (even price).
From what I understand, the reverse voltage is the maximum voltage drop the diode can have (in reverse) before it fails. My question is, is there a reason I shouldn't just buy the highest reverse voltage I can find? Is the N4001 not the same in every way as the N4003 except that the N4003 can work with higher voltages without failing?