I've never heard the term "support strands", but if they're permanent strands, whether straight or harped/draped, in the top or the bottom of the beam, then they're just strands to us. I thought you were talking about sacrificial strands in the top of the beam that reduce the tension in top top of the beam from the release of the strands (from the anchor blocks, once the concrete has cured sufficiently) until the beams are put in place, spanning between supports, and their selfweight reduces or reverses the tension in the top of the beam enough that they are not required anymore. They only do sacrificial strands when the compression in the top of the beam under full load would be too much with the strands adding to the compression.
Anyway, back to the the "temporary" top strands. If they aren't what I'm calling sacrificial strands, what are they?
As far as the WWR, if it's continuous (properly lapped) over the length of the top flange, it can be considered in the design to mitigate the tension in the top of the beam. Otherwise, it cannot be considered in the design. I suppose if the design (concrete stresses, etc.) works without including it in the model, you can ignore it.