You don't develop an ASIC to run a router with, you buy one off the shelf. And the function of a router doesn't exactly change day by day (or even year by year).
As vendors are eager to remind us, custom silicon to accelerate everything between L1 to L7 exists. That said, it is still the case in 2025 that the "fast path" data-plane will end up passing either nothing or everything in a flow to the "slow path" control-plane, where the most significant silicon is less 'ASIC' and more 'aarch64'.
This is all to say that the GP's comments are broadly correct.