There's a little trick to painting with a red or yellow pigmented paint -- especially RL paint, it seems. The trick is that you need to sand the wall surface with 120 grit paper after each coat to give it 'tooth'. This is a very quick process by using a sanding block and just whip around the wall every which direction and sand hard enough to just give yourself some dust. After sanding, whip the walls down with a cloth -- e.g., something like an old T-shirt. By doing this, you will find that you will need less coats of paint (e.g., maybe 3 coats if Barn Red) and the final finished result will be dramatic and beautiful.
We learned this the hard way -- after 4 coats the walls looked streaked and horrible. I called a friend of mine who's a professional painter and he gave me the answer -- e.g., the tip above about the sandpaper. It works!