The problem with that is that then you redesign all the approach and departure paths, and suddenly any change in wind will FUBAR your angles and speeds. The pilot is less aware on a minute-by-minute level of what the winds are than the controller. IAS lets the pilot concentrate on what he (or she) is doing without task saturation in the cockpit trying to maintain a given groundspeed while flying through various wind levels.
If the controller assigns 210 knots to incoming turbines, and consistently sees 235 groundspeeds, it's not gonna take long for him to realize he's +25 with wind at that level and adjust assigned speeds accordingly if needed. If you tried to get EVERY pilot in that string of airplanes to make the adjustment based on a groundspeed that is affected by a continually changing windspeed in climb/descent, you would end up with some sharp guys making the adjustment fast and some dumb ones screwing it up, resulting in an unholy mess very quickly. It's easier for one man (controller) to adjust rather than expecting many (the pilots) to get it right.
I've seen enough stupid human tricks in the air to believe that in many, if not most, cases the controller has a better chance of keeping it straight than the pilots. If we were all professional, nimble-minded, and very current it would work fine - but that's not reality.