Isn't the point of pre-tensioning is not the actual tension on the reinforcement, but the pre-loading of the concrete - so it needs to happen everywhere in the volume of the concrete, not just next to the reinforcement?
Interesting point; I see what you are saying like during the curing process, the tension in the yarn weave itself would pre-tension the dried slab. But I wonder if acrylic yarn would have a sufficient effect and to what extent.
If anyone has science fairs coming up, these seem like excellent experiments!