Ignoring takeoff clearances for a moment, my limited understanding is that most traffic in and out of an airport follows a prescribed pattern: You take off, turn to some particular bearing, climb to some particular altitude, contact center on some particular frequency... etc. Listening to VASAviation, it seems like this accounts for > 80% of pilot-controller communication.
It's strange to me that, given the amount of automation in a modern airliner, these instructions aren't transmitted digitally directly to the autopilot. Instead of the controller verbally telling the pilot where to go, it seems feasible that the controller (or some coordinating software) could just digitally tell the plane where to go.
I feel like that's how you dramatically decrease workload on both ends, and then maybe there's more bandwidth to focus on those takeoff clearances (and eventually automate those as well?).
So many other aspects of flight safety have been handed over to the computer to solve, it's curious to me why a critical function like air traffic control still happens verbally over VHF.