The captain's testimony (as provided by the link) was, he did not know what was wrong with the aircraft and did not want to risk the configuration change required by a go-around. There are, in my view, questions to be asked about that in terms of what the flap guage was reading and what the animation shows in terms of control wheel deflection and awareness of the first and second stick shaker, but that is the testimony. Although it wasn't mentioned, perhaps it was the configuration change that brought down an Alaska Airlines MD80 off Los Angeles a number of years ago that was on the captain's mind. The First Officer mentioned that a go-around would have taken them back into the same icing they just left. The throttles in the animation did not seem to move in accordance with the F/O's testimony but there can be many reasons for that. They did not initiate or complete the QRH checklist items for flap asymmetry or a zero-flap landing.
I know from experience that it is exceedingly difficult to recall both warnings and sequences of events after the fact and often the CVR and DFDR can be a surprise to the crew.