What thickness is that wire, it has to be strong enough to resist the spring and so would need a fair pulse of current to guarantee to melt in a very short time frame.
0.25mm near enough
That translates to 30 AWG, but you can't use comparisons with fuse wire here. Someone has done the experiments and figured out how much current is needed to melt it very quickly and the capacitors are there to deliver that.
Assuming a stainless teel wire, tensile strength at the yield point could be as much as maybe 2000N per square mm so upto 9kg of force.
You'd want to be using the wire well below the yield point so it's clearly part of the trigger mechanism, but I guess it won't have the full force of that big spring bearing directly on that tiny strand.
