So is the overall opinion that you shouldn't use this method with a straight braid in a rectangle cooler?
If you have a straight braid, batch sparge. If you want to fly sparge, use a manifold or false bottom or you're efficiency will drop.
See my previous post
The manifold allows even rinsing of the grain bed. If you try this with a simple straight braid instead, your efficiency will drop due to classic channeling issues. A circular braid will be a bit better. A manifold design is usually quite good and a false bottom typically the best.