I for one am very sceptical about any claims of using plastic fibres as a substitute for steel reinforcement. The reason is that the elastic modulus of the plastic fibres is LOWER than that of hardened concrete, so when a crack starts to form, the fibres don't significantly restrain the crack or carry much load - they just stretch. From ggone's comments, it seems that Fibermesh has recognised this fact, and I think the same would apply for nylon fibres also.
Plastic fibres can however be effective in controlling early plastic cracking when the concrete has not yet cured. As Ron pointed out, this can be beneficial, but should not be taken as a substitute for good placement and quality control etc.
Steel fibres or bars have an elastic modulus higher than that of hardened concrete, so are able to carry tensile stresses in cracked concert.