First of all, unless there are overriding considerations you have to follow the company SOP.
If you think that the SOP could be improved then write to the CP with supporting evidence.
I've operated both systems where the FO flies the approach and where the captain does it all and <<don't recollect working for any outfit whose SOP was to continue and land if the captain did not respond at RDH.>>
Of course for Cat3c that would be 1000ft aal with no DH.
Bit in << >> is in error - flew for outfit who recommended:
"In the event of a lack of response by the captain to the "Decide" call, due to incapacitation, it is considered safer for P2 to continue to autoland the aircraft in Cat 3 conditions than to execute a go-around"
Blame failing memory