Fuse design for taking in account real-world very small transients
A resistor generally fails due to overdissipation.  If it doesn't arc, a momentary pulse of current wouldn't destroy it.  Semiconductors, on the other hand, can be destroyed fairly immediately by overvoltage.

Based on the limited details above, I doubt that you'll have enough inductance in the circuit to do any damage.  If you're particularly concerned, you can include Zener diodes to mitigate it.  Most ICs have diodes to supply and ground to protect the part, although they are small.

The second fuse will do nothing to prevent a momentary voltage spike due to current redirection.  At twice its rated capacity, it's likely to survive several seconds before blowing.  This is an eternity of time in terms of electrical damage.