Terri spoke with TxDOT. Here's the skinny:
There won't be a traffic light at our East Entrance to replace the flasher in the forseeable future, but we might see a turn lane within a year.
Somehow they'd widen the road or restripe it after the bridge headed west, which would allow a turn lane and hopefully you would have a reasonably clear shot.
They are aware of the danger BUT there's an issue: Barton Creek - they can't widen the bridge due to environmental concerns. (I assume the bridge was built in less-strict days.) The issue ISN'T funding.
On another matter, TxDOT said there will be a road cut north of the new Galleria, linking 2244 and 620; hopefully lessening some of the traffic on 71.