It is because LIDAR system do not work very well in the field. LIDAR systems work on the light reflecting from particulates. If there are too few, or too many, it does not work. Rain, fog, snow, etc, doesnt work. Too clear like in AUS, or too much in the air like Dubai, doesnt work.
For a system to be used, it must be real time all weather, which LIDAR takes too long to take a measurement, and far to long to process. The current crosswind/headwind systems that you mention are close, but use ground winds from the AWOS at 10m. As pilots are aware, while that is good for braking, the winds are frequently different at altitude, and windshear at low levels. That is why these methodologies have not been industrialised yet.
That being said, there are systems and methodologies that do work, and several are in the planning stages. These provide the winds up to 300m and wake measurements every 5 seconds. This will enable these systems to be used for aviation.
Currently, Phase I will by using the reduced separation on DEP with winds, and time based ARR spacing with winds. Phase II will be dynamic DEP separation using winds and wake turbulence.
An added benefit to the systems, is identifying exactly when the aircraft is right over the array (which is approx 600m from the end of the runway) thus, is t=0, visual is not required, and ATC will know exactly when the ac is over the array. If there is a splay at or near this location, ATC has the exact time when the aircraft gets to the splay point, providing another important variable to the decision making process.
Some examples:
