What about the breaking capacity?
I think you're rather scraping the barrel. About the only way in which one of these fans can go wrong (in an 'overload', rather than 'fault', sense) would be by the motor jamming. It has been recently shown that, under such circumstances, the rise in current is very modest (far too little to cause any realistic OPD to operate), and the thermal fuse would fairly quickly operate, long before the temperature rise would be anything like high enough to present a fire risk.
'Breaking capacity' would really only become relevant in the case of a true 'fault' (i.e. a 'short'), in which case the circuit's OPD (usually 6A or 5A) would operate, as usual. I think you would be very hard pressed to think of any realistic real-world scenario (in relation to a small extractor fan with a thermal fuse) in which a 3A fuse would operate appreciably quicker than the circuit's OPD.
I think we have already agreed that 'incidents' involving these products must be exceedingly rare (if they ever happen), even when the circuit is 'only' protected by a 16A OPD (which will be the case in many countries). That being the case, the chances of a scenario arising in which such an incident
did occur, but in a situation in which a 3A fuse would operate, but the circuit's (6A or 5A) OPD would not, would surely be 'exceedingly exceedingly' rare/unlikely, wouldn't it?
Kind Regards, John