We absolutely will not. The only reason people believe this is that they've forgotten how to do speaker-dependent recognition (SDR), which is more accurate and more secure anyway. We were doing SDR in the 80s with 1/1000 the CPU power and 1/1000 the memory.
SDR does require an initial training session, but once that's done any modern computer or smartphone should be able to handle it locally with no cloud server environment.