USAir 1549, Hudson swim outcome was independent of the airframe type AFAICS. The alpha floor was in play at the final few seconds, but that led to a high sink rate. USAir was out of energy when they got to the final few seconds, and that is understandable, they had a lot of NYC to avoid on the way down.
Alpha floor didn't/couldn't have(damaged engines)but alpha protection came into play which tends to pitch the nose down. That was because the speed was dropped 19kts below Vapp. The resultant high ROD during flare would happen in any aircraft with different reasons. In 737 it would cause a stall warning and pilot would have pushed the stick forward resulting in increase of ROD or continue to stall into Hudson. I think that would have been disastrous. So protections didn't create the problem. It worked as designed.