If we are looking at the RSA factoring challenge (https://en.wikipedia.org/wiki/RSA_Factoring_Challenge) then 768 bits is done. Breaking RSA 1024 is assumed to be possible but has not been demonstrated in public.
So maybe quantum computers should first complete some of these RSA challenges with less compute resources than done classically before considering any claims about qubits needs as practical.
All of this in the context of DNSSEC or other system using signatures. For encryption the story is different.