A compromise is to add a collector/distributor road next to the freeway; this doesn't eliminate weaving but moves it off the main lanes of the freeway.
The principal advantage claimed for this approach is that it leads to a more even spread of motor traffic throughout the area and so avoids the need for distributor roads.
This exit uses a cloverleaf interchange with one directional ramp and collector/distributor roads to avoid issues with traffic exiting immediately north of the turnpike.