Yes, the fuse limits current into the power supply (exactly the idea) but the audio circuits do not see that
Correct because the big "musical transient" amperage that’s needed, does not come from the fuse, it comes from the reserves of "powersupply storage caps".
The mains fuse side is a just a "trickle charger" (for an analogy) to top up those power supply caps, if they (the caps) run out of storage while playing music then **** hits the fan.
And if the fuse is higher rated then your equipment is in big trouble
Cheers George