Air tabs is now claiming 4% better fuel economy. If my memory serves me correctly they use to claim 2%.
I have friends I worked with in aerospace that are aerodynamic experts running fluid dynamic programs and wind tunnel tests regularly so I spoke with them.
Their opinion was there were various ways to aerodynamically gain a small 1 to 3% improvement in fuel economy so maybe airtabs did or maybe they did not. They thought this was plausible.
Dirt accumulating would be affected by airflow and could be better or worse and they had no comment on these claims.
Improved handling due to winds, passing trucks, etc. seemed like people were imagining an improvement in their opinion. Various devices that had minor improvement in fuel economy would have no perceptible improvement in handling in their opinion. They basically attributed these claims to the placebo affect it had on the driver making them believe things were better.