Yeah, that would produce the same results, but depending on torch/fuel being used, there wouldn't be any deposits leftover on the wire after torching it if you use the 521.
There are a lot of people that like to anneal their wire before wrapping the coil. It takes the "springyness" out of the wire, which many find it easier to work with. I've never liked to anneal my wire before the coil is wrapped, but I've always been a kanthal user. I've just recently started using SS 316L, and I think I'm going to start annealing/pre-heating it before doing any more builds with it, due to it being about twice as springy as kanthal. It isn't impossible to be consistent with the 316L, like I was with kanthal, but the first couple of wraps are a little more challenging for me to get proper.