Is it safe to swap a fused IEC cable to non-fused when in another country?
Perfectly fine as long as the cable itself is the right rating.

Many cheap IEC cables, although the connectors are rated at 10A, the cable itself is a lower rating (because it's cheaper), such as 5A (why use 10A cable on an appliance that only draws a couple of amps?).

That's why you shouldn't use a cable from something else on the rice cooker, as it would need more than a generic cheap cable can safely handle.

(note: the UK electrical regulations are fixated on fuses. There's fuses everywhere, even when they're really not needed. In a typical circuit you'd have the MCB in the CU, the 13A in the 4-way strip's plug, the 13A a foot away in the 4-way itself, then another fuse (say 5A) 6 inches further away in the appliance plug, then another smaller one at the appliance entry... that's 5 fuses in a single power feed!!!)