Quick update in May 2022:
Summary: The implementation of EIP-2537 has been completed and is now in go-ethereum codebase— it is only pending activation of this functionality.
Next steps: Enable the precompiles by editing /core/vm/contracts.go, similar to what is done for Byzantine/Istanbul/Berlin:
- Create a new default set of pre-compiled Ethereum contracts used in the next release, including the new precompiles of EIP-2537.
- Modify init() and ActivePrecompiles() functions to activate the new precompiles.
Other points to mention: There exist another implementation that is marginally more performant regards to gas consumption and running time (blst utilizing wasm). But the workload to move on to the other implementation is high and discarding the past hard work is unworthy.