Different fuse capacity.
LED fog lights should use a lot less power; so it sounds like something is bad with those.
If they do require more current than 15A, then wire in a relay that draws power from the battery, then use the fog light wire to trigger the relay. BUT make sure the power lead from the battery is fused as well.
I say why not use a bigger fuse? If that blows too, wrap it in aluminum foil and plug it in again. Then get some marshmallows and toast them over the resulting bonfire.







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