Read only if background information is of use....bit of a ramble, wry smile here.
Hello Rob, some points for clarity, mentioned the old style rectifier issues in context of the era, have one here in the bin of shame somewhere, it shows the type of high temperature failure indicated. My description was "fire hazard" and that remains the case. Not that we had a Laverda catch fire, the warning was sufficient to act and replace. Of diodes ( any junction type semiconductor ) have various modes of failures. A least understood is reverse bias leakage, a notable design issue for switching power supplies. Power dissipation or Pd is of most interest, given the area of the semi junction can be less than a square mm, any power dissipation is concentrated ( indeed, generated ) across that die area, spot overheating can produce extreme temperature and ongoing thermal issues with encapsulation materials, the old rectifier in question from memory was petroleum based and did exhibit flame potential.
Of fuses, that is also complicated, in the case you mention, 15A fuse, when does it clear? Not at 14.9A, then suddenly clears at 15Amps? Ostensibly a fuse is a fault current limiter in operation, to specify fuse operation you will require the I squared t information. Also type of construction, from open fuse wire to the silver/sand fuses have replaced in expensive corporate equipment, the subject was so complex i needed the assistance of fuse manufacture engineers to have a proper grasp of what a fuse does and operates. UK engineers funny enough were of most help.
Your observations are correct overall, the details are where outcomes are not so obvious. The fault current figure for a bike battery may well be in the order of many Kamps perhaps a momentary 1000A, a failing diode would perhaps try to dissipate that Pd, go open circuit likely, or fuse the PN junction and go short, seen many modes of failure, and post failure analysis of the die where possible, yields what actually was the cause of failure. Semiconductor junctions have various failure states, not open or short, can be stages in between, know this is not directly on topic, out there all the same. j