Electricity will flow through the least resistance part of a wire. So, it will go from the source, through the solder connection, to the copper wire and then flow on the inside of the tinned copper. If you were able to take a voltage reading at the copper and at the tin on the outside, you'd probably see there is a difference in voltage, and definitely see a difference in resistance, as you mentioned tin having a higher resistance.
So, the copper will heat up first before the tin will. By the time the copper heats up to that point, it's about to pop anyways and the tin that's on there will probably melt/burn off and accelerate the heating of the copper to the popping point.
To be sure, as mentioned multiple times by various people, test what ever wire you plan on using as a fuse, regardless of what others have done and have shown.
I doubt the copper will last that much longer than the tin when it's about to fail. So no worries there.
The corrosion resistive power of bare copper wire to humid and wet atmospheres gradually decreases when temperatures exceed especially above 100 degrees Celsius when carrying currents. In such circumstances, Tin plating on the bare Copper wire protects Copper beneath it and improves longevity and strength of the fuse wire. Tin coating does not allow oxidation easily.
Note, it says "especially" above 100C, not until 100C. Big difference. Also, it says doesn't allow oxidation "easily". It just severely hinders it.