I don't see why there'd be an issue using them, really. They would just have to be thin and narrow enough to be used as a fuse.
The thing is, most of the places where fuses are used, is going to be places that have low amperage; <10A. So, we wouldn't be able to reuse the nickel strips we get from tear downs as it's way to thick and wide. It wouldn't be worth the bother to cut the strips narrow enough when it'd be easier to just get nickel wire, or regular fuse wire.
Nickel strips I think would be better used for bridging, rather fusing. After all, that's what it's used for in all the packs we pull apart. It's used there for a reason.