Airports like LHR and LGW routinely use airspeeds commanded by ATC to achieve their spacing so, to gayly use GSmini in those situations of high winds would interfere with that spacing. Why not just revert to GSmini managed speed once #1 to land?
I once operated a A340 into LHR when the 2,000 wind was 70kts and the surface wind 38kts. ATC commanded speed gave us a groundspeed of 90kts at one stage!