I would say the fish would be able to see it, we did a research project with hatchery lake trout during my training where we looked at the response trout had to various colors, primarily to determine what colors to use with the enclosures, but we also looked at what colors the lure's should be if we wanted the best fishing results. Red was overall the best color to use for triggering a bite response from the fish. Obviously this is not necessarily applicable to all fish species, but it does call into question how would a red net be more effective in preventing the fish from fleeing. There is little loss of red in the depths most of our fish live at but they might still have reduced sensitivity to the red spectrum, due to evolutionary means. It might also be that the nets are more effective because they trigger an aggression response rather than a fleeing response.
Overall I would try one if they did not cost more than the normal colors, but I doubt there would be any reasonable chance they would perform better than other colors, fish are pretty aware creatures.